{4x+y=9 and 5x +2y=9
use substitution method to find all solutions of the system of equations

(X,y)=

Answers

Answer 1

Answer:

x=3,y=-3

Step-by-step explanation:

Isolate x for 4x +y=9: x=9-y/4

Substitute x = 9-y/4

[5 x 9-y/4+2y =9]

Isolate y for (45+3y/4)=9:

y=-3

For x= 9-y/4

Substitute y = -3

x= 9-(-3)/4

9-(-3)/4=3

X=3

The solutions to the system of equations are:

x=3 y= -3


Related Questions

Mrs. Vanwhy made a two-way table to show which students made honor roll and which students study a foreign language. Which is the best two-way table for Mrs. Vanwhy to organize her data?
A 4-column table with 3 rows. Column 1 has entries honor roll, no foreign language, total. Column 2 is labeled foreign language. Column 3 is labeled not on honor roll. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries honor roll, not on honor roll, total. Column 2 is labeled foreign language. Column 3 is labeled no foreign language. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries honor roll, no foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries foreign language, honor roll, total. Column 2 is labeled no foreign language. Column 3 is labeled not on honor roll. Column 4 is labeled total.

Answers

The most appropriate chart for Mrs. Vanwhy is the one where the columns are foreign language and honor roll, no foreign language, honor roll, and total (option D).

How to identify the relevant table for Mrs. Vanwhy?

To identify the most appropriate table for Mrs. Vanwhy we must identify what data she wants to include in the table.

Taking the above information into account, it can be inferred that the most appropriate table for Mrs. Vanwhy is option D because it includes all the data that she wants to tabulate.

Honor roll.Foreign language.

Learn more about tables in: https://brainly.com/question/10670417

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Answer:

D.) The last table is the answer

Step-by-step explanation:

I finished the test.

How many solutions does the equation y + 12 = y + 10 + 2 have?

Zero

One

Two

Infinitely many

Answers

Answer:

Infinitely many

Step-by-step explanation:

1. Subtract y from both sides:

y-y + 12 = y-y + 10 + 2

12 = 10 + 2

2. Simplify:

12 = 12

Because the left and right side are equal, then there are infinitely many solutions.

hope this helps!

2. Which of the following is equivalent to (g+h)(p+q-r)?
Ogp+gq+gr + hp + hq + hr
Ogp+hq-hr
Ogp+hq-r
Ogp+gq-gr + hp +hq - hr

Answers

Answer:

[tex]\boxed{D)\;gp+gq-gr+hp+hq-hr}[/tex]

Step-by-step explanation:

[tex]\left(g+h\right)\left(p+q-r\right)[/tex]

[tex]gp+gq+g\left(-r\right)+hp+hq+h\left(-r\right)[/tex]

[tex]gp+gq-gr+hp+hq-hr[/tex]

Hope it helps!

Answer:

D. gp + gq - gr + hp + hq - hr

Step-by-step explanation:

I got it right on my test.

solvr 5 3/4 = z- 6 3/8

Answers

Answer:

x=12 1/8

hope this helps

can i get brainliest

Solve x2 − 20 = 0. If necessary, round to the nearest hundredth.
±4.47
400
±40
There is no solution as you cannot take the square root of a negative number.

Answers

Answer:

Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

Step-by-step explanation:

Step 1:  Add 20 to both sides

[tex]x^2 - 20 = 0[/tex]

[tex]x^2 - 20 + 20 = 0 + 20[/tex]

[tex]x^2 = 20[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{20}[/tex]

[tex]x =[/tex] ± [tex]4.47[/tex]

Answer:  Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

What would the quadratic equation be in standard form?

Answers

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

This is the standard form of the quadrartic equation. "a" is the leading coefficient and a non-zero real number.

5 I think of a number x. If I subtract the number 7 from it, I get the same answer as if I double it and add 3. Find the value of x.​

Answers

Answer:

x = -10

Step-by-step explanation:

the equation will be;

x - 7 = 2x + 3

- 7 - 3 = 2x - x

- 10 = 1x

x = -10

How you do this pls help

Answers

Answer:

why do ask the question which answer is given below

What is the value of the expression 2.5 (j.k) j when je 6 and K = 4? OA) 6 OB) 8 OC) 10 OD) 12

help ASAP​

Answers

Answer:

C

Step-by-step explanation:

substitute the given values for j and k into the expression

[tex]\frac{2.5(6)(4)}{6}[/tex]

= [tex]\frac{2.5(24)}{6}[/tex]

= [tex]\frac{60}{6}[/tex]

= 10

NESESITO LA RESPUETA URGENTEEEEEE


[tex]\frac{(6)}{(3)}[/tex]

Answers

La contesta es 2. 6/3= 2 ( perdon, hablo ingles, hago mi meyor trabaja hablar ese in español)

What is the volume of this right prism?

96 in³

60 in³

48 in³

44 in³

Answers

Answer:

48

Step-by-step explanation:

Tyler and Gabe went to the arcade and played the same two games. Tyler played 5 rounds of one game and two rounds of the other for $24. Gabe played 4 rounds of each game for $30. Write two equations for the amounts the two boys spent. Then find the cost for one round of each game.

Answers

Answer:

Tyler: 5x + 2y = 24

Gabe = 4x + 4y = 30

x = 3

y = 4.5

Step-by-step explanation:

4y = 30 - 4x

y = 7.5 - x

5x + 2(7.5 - x) = 24

3x + 15 = 24

x = 3

y = 7.5 - 3

y = 4.5

describe the following polynomial by degree and number of terms x^4-3x^2+2

Answers

Answer:

Option c

Step-by-step explanation:

Three terms and the degree is four

Hence Three terms,fourth Degree is your required answer

I hope it helped you

Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?

Answers

Answer:

Polygon WXYZ is the same shape and size as polygon ABCD. Each side of WXYZ is double the length of ABCD. The ratio of the length of each side of WXYZ to its corresponding side of ABCD is 2. A characteristic of figures that have the same shape is that ratios of corresponding sides are equal.

Step-by-step explanation:

find the value of each variable. 3x 2y 34

Answers

X= 30

Y=28

Step-by-step explanation:

It's a right-angle triangle. So, 3 x 30 will give you a 90 degree angle.

180-90=90

That means the next 2 angles should add to 90.

2x28=56

56+34=90

Hope this helps!

Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as
those in the general population. The distribution for the gendral population is as follows: type A, 22%; type B, 28%; type o,
38%; and type AB = 12%. He selects a random sample of 50 patients and finds the following: 11 have type A blood, 9 have type
B, 24 have type o, and 6 have type AB blood.
At a=0.10, can it be concluded that the distribution is the same as that of the general population? Use the critical value method
with tables.

Answers

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.

Let's set up the null and alternative hypotheses:

Null hypothesis:

The distribution of blood types in hospital patients is the same as that of the general population.

Alternative hypothesis:

The distribution of blood types in hospital patients is different from that of the general population.

We can use a chi-squared test to test the hypothesis.

First, we need to calculate the expected frequencies for each blood type based on the general population distribution:

Expected frequency of type A = 50 x 0.22 = 11

Expected frequency of type B = 50 x 0.28 = 14

Expected frequency of type O = 50 x 0.38 = 19

Expected frequency of type AB = 50 x 0.12 = 6

Next, we can calculate the chi-squared statistic:

[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]

The degrees of freedom for the test is (4 - 1) = 3.

Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.

Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.

Thus,

We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.

Learn more about hypothesis testing here:

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Which expression is equivalent to 6x² - 7x-20 ?

Answers

Answer:

(3x+4)(2x−5)

Step-by-step explanation:

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -20

Step-1 : Multiply the coefficient of the first term by the constant   6 • -20 = -120

Step-2 : Find two factors of  -120  whose sum equals the coefficient of the middle term, which is   -7 .

     -120    +    1    =    -119

     -60    +    2    =    -58

     -40    +    3    =    -37

     -30    +    4    =    -26

     -24    +    5    =    -19

     -20    +    6    =    -14

     -15    +    8    =    -7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  8

                    6x2 - 15x + 8x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (2x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (2x-5)

            Which is the desired factorization

Select the correct answer.
Which value of x makes the equation true?

Answers

Answer:

letter  po
3(-11)-6        -33-6         -39

----------   =  ----------  =  ---------- = 13
    3                3               3

7(-11)-6         -77-6         -83
----------   =  ----------  =  ---------- = 13
    3                3               6

A local gym charges a flat monthly fee plus a fee for each day the gym is used. The total cost in dollars, y, to use the gym for x days can be found by the equation; y=6x+81. What is the daily cost of using the gym and why?

Answers

Answer:

The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.

Step-by-step explanation:

A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?

Answers

Answer:

I got 27,719.

Step-by-step explanation:

I Did the long route and multiplied 14,000 by .05 and adding that and doing that to my answer 14 times. so 14,000-14,700-15,435-16,206.75,17,017 so on and on. Tbh I would know tho

The sum of the digits of a three digit number is 19. The second digit is one more than the first digit. The third
digit is two more than the second digit. Find the number.
A. 890
B. 124
C. 345
D. 568

Answers

Answer:

D. 568

Step-by-step explanation:

Let the number is in the form of xyz

We have

Sum of the digits is 19

x + y + z = 19

The second digit is one more than the first digit

y = x + 1

The third digit is two more than the second digit

z = y + 2 = x + 1 + 2 = x + 3

Substitute the values of y and z into the first equation and solve for x

x + x + 1 + x + 3 = 193x + 4 = 193x = 15x = 5

Find the value of y and z

y = 5 + 1 = 6z = 5 + 3 = 8

The number is 568


13-28 Sketch the region enclosed by the given curves and find its area.
19. [tex]y=\cos \pi x, \quad y=4 x^{2}-1[/tex]

Answers

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 3√2

Step-by-step explanation:

This is a special triangle known as the 45-45-90 triangle. It has special rules that I will detail below:

a = xb = xc = x√2

Since we known that x = 3 plug in this value to find b and c, or the hypotenuse:

a = x = 3

b = x = 3

c = x√2 = 3√2

BRAINLIEST please if this helped!

What is the range of the relation below?

Answers

Answer:

a

Step-by-step explanation:

you can see on y in which range the line goes, I hope its correct

Answer:

Step-by-step explanation:

None of them its:

-3.2 ≤ y ≤ 4.

Find the missing side or angle.
Round to the nearest tenth.
C=95°
b=6
a=5
c=[?]

Answers

No diagram is visible!

You might have to repost the question again.

Answer: For the acellus people its 8.1

Step-by-step explanation:

Jaylon has 20 math problems for homework. He has completed 60% of the
problems so far. How many problems has he completed?

Answers

Answer:

Jaylon has completed 12 problems.

Step-by-step explanation:

(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
[tex]\frac{60}{100} = \frac{x}{20}[/tex]
Step 2. Do 200x 60 to get 1200
Step 3. Get this equation
[tex]\frac{1200}{100} = x[/tex]
Step 4. Get the answer of 12
I hope this helps! :)

Answer:

Jaylon has completed 12 problems so far

Step-by-step explanation:

Step 1:  Determine the amount of problems that were completed

(Total number of problems) * (Percent of completed problems)

(20) * (60% / 100%)

(20) * (0.6)

12

Answer:  Jaylon has completed 12 problems so far

I will give Brainliest!!! :D



A farmer sells eggs at a market. She offers three different sizes. For any size, the weight of each egg can vary up to 8%.


Calculate the missing values.


Is it possible for an egg to be both large and extra large?

Explain.

Answers

answers:

medium-41.4,48.6

large-55,59.4

extra large-62,57.04

yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large

The missing values for Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

What is percent?

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given table for size and weight of eggs and  the weight of each egg can vary up to 8%.

for Medium eggs Advertised weight = 45 g

lightest weight = 45 - 8% of Advertised weight

because Advertised weight is average of lightest weight and heaviest egg weight,

lightest weight = 45 - 45(0.08)

lightest weight = 41.4 g

heaviest egg weight = 45 + 8% of Advertised weight

lightest weight = 45 + 45(0.08)

lightest weight = 48.6 g

missing values for medium egg = 41.4g and 48.6g

For Large egg

lightest weight = 50.6

Advertised weight = 50.6 + 8% of lightest weight

Advertised weight = 50.6 + 50.6(0.08)

Advertised weight = 54.9 = 55g

heaviest egg weight =  55 + 8% of Advertised weight

heaviest egg weight =  55 +55(0.08)

heaviest egg weight = 59.4g

missing values for large egg =  55g and 59.4g

For Extra large egg

heaviest egg weight = 66.96 g

Advertised weight = 66.96 - 8% of heaviest egg weight

Advertised weight = 66.96 - 66.96(0.08)

Advertised weight = 61.6 = 62 g

lightest weight = 62 - 8% of Advertised weight

lightest weight = 62 - 62(0.08)

lightest weight = 57.04 g

missing values for extra large egg is 62g and 57.04 g

Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.

Hence the missing values are,

Medium egg are 41.4g, 48.6g

for large eggs are 55g, 59.4g,

and extra large eggs are 62g, 57.04g.

Learn more about percent;

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Will give BRAINLIEST this is the full question please show work. Easy

Answers

Answer:

[tex]4x-y-11=0[/tex]

or

[tex]y = 4x -11[/tex]

Step-by-step explanation:

Equation of given line is: y = 4x - 7Comparing it with: y = mx + b, we find: slope (m) = 4Required line is parallel to the line y = 4x - 7SLopes of parallel lines are equal.-> slope of required line (m) = 4Required line passes through the point (3, 1) [tex]\implies x_1= 3,\: y_1= 1[/tex]Equation of line in point slope form is [tex] y-y_1= m(x-x_1)[/tex]Plugging the values of m, [tex]x_1,\: and\: y_1[/tex] in the above equation, we find:

[tex] y-1= 4(x-3)[/tex]

[tex] y-1= 4x-12[/tex]

[tex] \implies -1+12= 4x-y[/tex]

[tex] \implies \red{\bold{ 4x-y-11=0}}[/tex]

or

[tex]\purple{\bold{y = 4x -11}}[/tex]

Answer:

[tex]y = 4x - 11[/tex]

Step-by-step explanation:

Parallel lines have the same slope.

[tex]1 = 4(3) + b[/tex]

[tex]1 = 12 + b[/tex]

[tex]b = - 11[/tex]

[tex]y = 4x - 11[/tex]

beinggreat78, you're looking for this

Answers

Answer:

z = 6

9 followed by a lowercase number, whether it's x, y, or z usually always means add 1 or multiply by an unknown number. In this case, we are multiplying.

[tex]9 * 45 = 405(wrong)\\\\9 * 63 = 567(wrong)\\\\9 * 7 = 63(wrong)\\\\9 * 6 = 54(correct)[/tex]

That said, the answer is six.

Please help meeeee!!

Answers

[tex]\bold{ANSWER:}[/tex]
1/9

[tex]\bold{EXPLANATIONS:}[/tex]
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