What is the solution of the following system
8x + 14y = 4
-6x - 7y = -10

a) (4,-4)
b (4,-2)
c (2,5)
d (6,-4)

Answers

Answer 1

Step-by-step explanation:

8x + 14y = 4 ...1

-6x - 7y = -10 ...2

...2 × 2 in 2 sides of the equation

-12x -14y = -20 ...3

...1 + ...3

8x + 14y +(-12x -14y) = 4 +(-20)

8x + 14y - 12x -14y = 4 - 20

-4x = -16

x = (-16)/(-4)

= 4

replace x in ...1 or ...2 you will reserve y value

and answer in the term of (x,y)


Related Questions

find the 2nd and 3rd term of the sequence -7, _, _, -22, -27

Answers

Answer:

-12,-17

Step-by-step explanation:

I just added five to each of the numbers


[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]
Plz help<3 I need to hurry up and get this assignment done ​

Answers

Answer:

[tex] - 7 \times ( - \frac{3}{5} ) \times ( \frac{15}{7} ) = [/tex]=9

simplify the expression
4t + 10t

Answers

Answer:

Add 4t and 10t

14t

Step-by-step explanation:

When you have the same variable you simply can add them together.

Hope this helps :)

HELP ASAP NOW NOW NOW NOW!!! Suppose three riders rode a total of 182 miles.

If they used a total of 13 horses, and rode each horse the same number of miles, how many miles did they ride before replacing each horse?

They rode _____ miles before replacing each horse.

Answers

Answer:

14 miles

Step-by-step explanation:

Assuming each horse was only ridden once

then a total of 13 horses were ridden for a total of 182 miles

182 miles / 13 horses  = 14  miles  horse

Of course, if each horse was ridden more than once before being replaced the distance between replacements could be reduced.

Note that the fact that there were 3 riders is irrelevant.

Rosa bought d drawings to and art show. After selling 14 of them she had 34 left. Identify the equation that represents this situation and the correct solution

Answers

Answer:

14+34=d hope this helps

slope of (9,-4) and (1,-4)

Answers

Answer: m = 0

..........................

PLEASE HELP I BEG 70 POINTS
Part A: Explain how to sketch the graph of a curve that opens downwards and has only one x-intercept at (2.5,0).

Part B: Explain how to sketch the graph of a curve that opens upwards where the minimum value of the graph is (0,1).

Part C: Explain how to sketch the graph of a curve with the following characteristics.
• The graph opens downward.
• The y-intercept is (0,6).
The z-intercepts are (-1,0) and (3, 0).
• The maximum value of the function is located at the point (1,8).

Answers

Part A:

If a quadratic has only one x-intercept, then that is where the vertex lies. being that the vertex is the highest or lowest point in the quadratic. To sketch, it will open downwards with a single x-cept

Part B:

The graph will be above the x-axis. And having the vertex being at (0,1) as it says its the minimum value. All the minimum means is that its the lowest value of this given parabola.

Part C:

Plot the points of the y-intercept and z-intercepts. Then plot the maximum value is. Connect the dots.

Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.

-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x

Answers

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

6. L
A machine can make 56 parts in 4 hours. It
can also make 70 parts in 5 hours. Write an
equation that relates the number of parts
the machine can make and the time in
hours. Predict how many parts the machine
can make in 9 hours, 30 minutes.

Answers

Answer:

133

Step-by-step explanation:

56/4=14 and 70/5=14. 14 x 9 = 126

30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.

126 + 7 = 133

133 parts the machine can make in 9 hours, 30 minutes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A machine can make 56 parts in 4 hours.

56=4x

A machine can also make 70 parts in 5 hours.

70=5x

Now we need to write an equation that relates the number of parts

the machine can make and the time in hours.

14=x

Now, we need to find parts the machine can make in 9 hours, 30 minutes.

14 x 9 = 126

As 30 minutes is half an hour, so divide 14 by 2 we get 7

126 + 7 = 133

Hence 133 parts the machine can make in 9 hours, 30 minutes.

To learn more on Equation:

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Erica plays 6 songs in 1/4 of an hour. How many would she play in 1 hour?

Answers

Answer:

24 songs

Step-by-step explanation:

4 × 6 = 24 songs

I hope this helps!

is this correct or should it be RWI??

Answers

the answer that u wrote on the paper is correct
It should be ABC = RWI since A corresponds to R, B corresponds to W, and C corresponds to I.

what is 342+8837+377+3893+39845

Answers

The answer is 53294. You can also use a calculator

Answer:

53,294

Step-by-step explanation:

The data in this table represents a linear function.

What is the slope of this line?


A.1/2

B.2/3

C.1

D.2

x y
3 3
6 9
8 13
11 19

HELP ILL MAKE MOST BRAINLIEST

Answers

The answer is D.2

The slope formula is m=(y2-y1)/(x2-x1)
You can use any (x,y) points on the table but i used (3,3) and (6,9) so my formula would look like m=(9-3)/(6-3) which equals to 2

Answer:

i took the quiz and got D

Step-by-step explanation:

What is 7 divided by 5

Answers

Answer:

1.4

Step-by-step explanation:

7÷5

5×1=5

7-5=2

bring down the zero and you get 20

5×4=20

7÷5=1.4

what's the greatest common factor for 22 and 55

Answers

Answer: 11

Step-by-step explanation: the factors of 22 are 22, 11 and so on, and the factors of 55 are 55, 11 and so on hope this helped❤

The greatest common factor for 22 and 55 is, 11.

We have to given that;

Numbers are,

22 and 55

Since, The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Here, Factors are,

22 = 2 x 11

55 =2 x  11

Thus,

The greatest common factor for 22 and 55 is, 11.

Learn more about the Greatest common factors visit:

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5. Determine whether each of the following are functions or not. Explain how you know.​

Answers

1st one is because it passes the line test and it doesn’t overlap, 2nd isn’t because it doesn’t pass the line test and overlaps, 3rd isn’t because it doesn’t pass the line test and overlaps

what is equivalent to (x+1)^2

Answers

What is x+1^2 is equivalent

Luis helped raise money for his school by jogging in the school jog-a-thon. The total
amount of money he raised can be represented by the expression 1.75m, where mis
the number of miles he jogged. If Luis raised a total of $21, how many miles did he jog?

Answers

Answer:

12

Step-by-step explanation: simple division

Just need a answer to this

Answers

Answer:

the answer is b 1.4

Step-by-step explanation:

the answer is b , 1.5

what is the unit rate of 1/4 kilometer in 1/3 hour

Answers

Answer:

3/4 km in 1 hour

Step-by-step explanation:

You divide to find unit rate.

1/4 divided by 1/3 is

1/4 x 3/1 = 3/4

3/4 kilometers in 1 hour

Hope this helps :)

The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is the rate of change?

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 /  4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.

Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.

Learn more about arithmetic here:

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What is 3/2
5= Pls help me i have no clue and i have a math test soon pls help me

Answers

Answer:

15/2

Step-by-step explanation:

You have 3/2 5so you do 3 x 5 which is 15 then you have the answer. You keep the bottom number the same always

Solve for x: (3x + 134)° (5x + 6)°

Answers

The answer is 1

1(5x+6) power of zero
1x1
So your answer is 1

I hope this helped

Answer:

x = 5

Step-by-step explanation:

3x + 134 + 3x + 134 + 5x + 6 + 5x + 6 = 360

16x + 280 = 360

16x + 280 = 360

16x = 80

x = 5

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

PLEASE HELP MEEE!!! Algebra 2.HELP
Patrick recently bought food for his family reunion. He bought a total of 23 hot dog and hamburger packs. The hot dogs cost $3 each and the hamburgers cost $5 each, he spent a total of $95. How many hot dogs and hamburgers did he buy each?
Write this as a linear equation (_x+_y=_) There should be two of them. PLEASE HELP ME! ITS MY LAST QUESTION ON THISSS

Answers

Answer:

3(x)+5(y) = 95

Step-by-step explanation:

I'm pretty sure this is correct, maybe double check, but I hope this helps :)

X is the amount of hotdogs bought, and y is the amount of hamburgers bought.

The temperature dropped 5°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was

Answers

30 degrees C was the total temperature change

Only 5,7,9 and 11.

d(x) = |x| – 4

m(x)= |x+1|

p(x)= 1/3 |x|

a(x)= -5|x|

Please help!!!!!!!!

Answers

Answer:

I don't no the answer so please ask from another guys

Step-by-step explanation:

Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirrels. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch? Help steps

Answers

Answer:

10 rabbits

Step-by-step explanation:

Let us represent

Number of rabbits = x

Number of squirrels = y

Number of deer = z

Katniss caught three times as many squirrels as deer.

y = 3z

She also caught five less rabbits than squirrels.

y = x - 5

The total number of animals she caught is ten more than four times the number of deer caught.

x + y + z = 4 × z + 10

x + y + z = 4z + 10

How many rabbits did Katniss catch?

Number of rabbits = x

We make x subject of the formula

x + y + z = 4z + 10

x = 4z + 10 - y - z

y = 3z

x = 4z + 10 - 3z - z

x = 4z - z - 3z + 10

x = 4z - 4z + 10

x = 0 + 10

x = 10

Therefore, the number of rabbits Katniss caught is 10 rabbits

PLEASE HELP ME ASAP! ILL GIVE BRAINLEST

Answers

Answer:6(-4)

Step-by-step explanation:

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

Hi there!

A negative number times a positive number is a negative number. So, since -4 x 6 has one negative number, you can think of it as 4 x 6 and then add a minus sign after multiplying, so -4 x 6 is -24.

In multiplication, no matter which way the equation goes, the answer will always be the same ( 5 x 3 is the same as 3 x 5). Therefore, we are looking for another equation that will also equal -24.

4(-6) is the same because it is still one number that is a negative, and it still equals -24.

6(-4) is the same as well, it's just we're putting the parentheses around the -4 this time.

12 x 2 is 24, so 12(-2) is negative 24 (-24)

I hope this explanation helped you! I'd appreciate if you gave me Brainliest, rated my answer and gave it a Thanks! Have a great day!

Consider the following Expression.
3(x+2)=-5-2(x-3)
What is the value of x?

Answers

this is

the equation on the math

the value of x is equal to -1

Really hard geometry problems. Please help!

Answers

Answer: For #3 the answer is 48 degrees, #4 is 70 degrees

Step-by-step explanation:

3. CGA and BGD are verticle angles which means they are congruent, and (2x-10)+(x+4)+(x+10) is 180. Which gives you X=44, then you substitute x into x+4 which gives you 48.

4. CEB and BED are supplementary which means they make up 180. BED and CEA are verticle angles which means they are congruent. We know CEB is 110 which means BED is 70 because 180-110=70. BED and CEA are verticle angles which means CEA is also 70 degrees

Answer:

i think #3 is 93 and #4 is 70

Step-by-step explanation:

a full circle is equal to 360

for #3, i used the equation (2x-10) + (x+4) + (x+10) = 360

combine all like terms and get 4x + 4 = 360

subtract 4 from both sides

4x + 4 = 360

4x = 356

divide 4 from both sides

x = 89. from here put 89 where x is . angle BGD and angle CGA are the same so 89 + 4 = 93

for #4, use the equation 45 + 3x - 19 = 110

combine like terms and get 26 + 3x = 110

subtract 26 from both sides and then divide by 3

3x = 84

x = 28

place 28 where x is and find the matching angle which is 70.

HOPE THIS HELPS!!

30 POINTS!!
HELP ME PLZZ THIS IS DUE TOMRROW !!!

Answers

Answer:

Commutative property

Step-by-step explanation:

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