Find the solution to the system of equations.

-8x + 4y = 24

-7x + 7y = 28.

please answer accurately with full explanation. don't spam ​

Answers

Answer 1

Answer:

x = -2, y = 2

Step-by-step explanation:

-7x + 7y = 28

7y = 28 + 7x

y = 4 + x ----(1)

-8x+4y=24 -----(2)

sub (1) into (2)

-8x+4(4+x)=24

-8x+16+4x = 24

-8x+4x = 24-16

-4x = 8

x = -2

sub x = -2 into (1)

y=4+(-2) = 2

Answer 2

Answer:

1) 2x - y + 6 = 0

2) x - y + 4 = 0

Step-by-step explanation:

1) -8x + 4y = 24

= -8x + 4y - 24 = 24 - 24

= -8x + 4y - 24 = 0

= (-8x + 4y - 24) ÷ 4 = 0 ÷ 4

= -8x ÷ 4 + 4y ÷ 4 - 24 ÷ 4 = 0

= -2x + 4y ÷ 4 - 24 ÷ 4 = 0

= -2x + y - 24 ÷ 4 = 0

= -2x + y - 6 = 0

= 2x - y + 6 = 0

2) -7x + 7y = 28

= -7x + 7y - 28 = 28 - 28

= -7x + 7y - 28 = 0

= (-7x + 7y - 28) ÷ 7 = 0 ÷ 7

= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0 ÷ 7

= -7x ÷ 7 + 7y ÷ 7 - 28 ÷ 7 = 0

= -x + 7y ÷ 7 - 28 ÷ 7 = 0

= -x + y - 28 ÷ 7 = 0

= -x + y - 4 = 0

= x - y + 4 = 0


Related Questions

A parallelogram has a base of 7 meters and a height of 10 meters. What is the area of the parallelogram in square meters?​

Answers

Step-by-step explanation:

Area of a parallelogram = H * B

Where ;H = height and B = 7

From the question our height = 10m and base = 7m

placing in formula

H * B

= 10m * 7m

=70m²

Therefore the area of the parallelogram is 70m²

-8v-12=4v+12 is it equal?

Answers

Answer:

they are not equal

Step-by-step explanation:

-8v-12=-8v-12

4v+12=4v+12

but you can solve it as an equation

-8v-12=4v+12

make v the subject

-8v-4v=12+12

-12v=24

divide both sides by-12

your answer is-2

3 and (5 + 1 + 3)
What is the answer

Answers

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο


(ANSWER QUICKLY)

Answers

Answer:

yes

Step-by-step explanation:

x = 1, y = 0

so,

-5×1 + 7×0 = -5

-5 + 0 = -5

-5 = -5

true, therefore (1, 0) is a solution (a point on the graph) of the equation.

I am not sure what the other pair should be.

solve for Y: Y=6b+12ab^2 a= 4, b=6

Answers

Answer:

1764

Step-by-step explanation:

Y=6b+12ab^2

Let a = 4

b = 6

Y = 6(6) +12 (4)(6)^2

   = 36 + 12 (4) (36)

   = 36+1728

   =1764

Answer:

[tex]\huge\boxed{\sf Y = 1764}[/tex]

Step-by-step explanation:

[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Please help I don’t know what to do

Answers

Answer:

A is the answer

Answer:

the first one is the answer y = (x-2)^2 + 1

Step-by-step explanation:

The vertex form of a quadratic function is y = a(x – h)^2 + k, where a, h, and k are constants.  h and k are vertex.

vertex is (2,1) which is (h,k)

passes through (0,5)

Equation is  y = a( x - 2)^2 + 1 . now substituting (0,5) in for x and f(x),

5 = a ( 0 - 2) ^2 + 1 and solve for a.....

5 = 4a + 1

5-1 = 4a

4a = 4..........  a = 1

equation becomes y = 1(x-2)^2 + 1 or y= (x-2)^2 + 1

2. A laptop usually sells for £1320 (including VAT). A store is advertising a discount of 15%
if it is purchased on a Sunday and a further 10% student discount. What is the price that a
student should pay (including VAT) for a Sunday purchase?

Answers

Answer:

£1009.8

Step-by-step explanation:

1) 1320/100*15= 13.2*15= 198- Sunday discount,

2) 1320-198=1122- The value with Sunday discount,

3) 1122/100*10= 112.2 - the student's discount,

4) 1122-112.2= 1009.8

The student paid £990 for the purchase of the laptop.

An equation is used to show the relationship between two or more numbers and variables.

The student purchase the laptop on a Sunday, hence:

Total discount = 15% + 10% = 25%

The laptop usually sells for £1320. Hence:

Discount = 25% of £1320 = 0.25 * 1320 = £330

Price paid by the student = £1320 - £330 = £990

The student paid £990 for the purchase of the laptop.

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factorize it h

[tex]4sin {2} \alpha - 5sin \alpha - 6[/tex]

Answers

Step-by-step explanation:

putting X in place of sin we get,

4x²-5x-6

4x²-8x+3x-6

4x(X-2) +3(x-2)

(4x+3)(x-2)

putting back sin in place of X

(4sin+3)(sin-2)

∫[tex]\frac{x2}{9}[/tex]

Answers

9514 1404 393

Answer:

  (x^3)/27

Step-by-step explanation:

The power rule applies.

  ∫(x^n) = (x^(n+1))/(n+1)

__

  [tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]

If AB = x +4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.

Answers

X+4+2x-10=2x+1
3x-6=2x+1
X-6=1
X=7

Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.

Answers

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

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a triangle has a vertices at R(1,1) S(-2,-4) and T(-3,-3). The triangle is transformed according to the rule

Answers

(-4,2) is your awnser
Yes (4,2) should be the answer

19. Rashmika bought a second hand T.V. for Rs. 6,000 and she spent Rs. 1500 on its repair. She sold it for Rs. 5,500. Find her profit or loss.​

Answers

Cost of TV= Rs. 6000

Money spent on repair= Rs. 1500

So, money left after repair= 6000-1500= Rs. 4500

She sold it for Rs. 5,500

Therefore, Profit= 5500-4500= Rs. 1000

So profit= Rs. 1000

Answer:

2,000 loss

Step-by-step explanation:

Total Revenue - Total Expenses = Profit

Total expenses = 6,000(Original cost) + 1500(repairs) = 7,500

Total revenue =  selling price = 5,500

Therefore the Profit or Loss(negative number) =

        5,500 - 7,500 = -2000 or 2,000 loss  

   

0.2 is 10 times as 2

Answers

Answer:

5 times

Step-by-step explanation:

please follow me

5 times !!! Hope this helps

Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.

Answers

The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5

This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!

L=6x+3

B=-2x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]

[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]

whats 40 euros to usd?

Answers

Answer:

47.06 United States Dollar

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

47.6 US Dollars

Hope it helpsThanks.

f=2 and s=8 then s divided by [2f]

Answers

Answer: 2

Step-by-step explanation:

f=2

s=8

[tex](8)\div(2(2))\\8\div4\\2[/tex]

Answer:

2

Step-by-step explanation:

s/ (2f)

Let s = 8

and f = 2

8 / ( 2*2)

8/4

2

John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?

Answers

Step-by-step explanation:

Accounts balance=$20

Part time job salary=$110

Total balance

\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}

⟼110+20=130$

Now

Price of comics=$40

Price left for bike

\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}

⟼130−40=90$

After buying the dream bike, John's account balance will be -$110.

Let's calculate John's account balance after each transaction step by step:

1. Initial balance: $20

2. Weekly paycheck: +$110

  Account balance = $20 + $110 = $130

3. Buys comic books: -$40

  Account balance = $130 - $40 = $90

4. Buys dream bike: -$200

  Account balance = $90 - $200 = -$110

After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.

To know more about account:

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1. What is the equation of a line parallel to y = x + 2 that passes through (1, 2)?

Answers

Answer:

y=x+1

Step-by-step explanation:

if it passes through (1,2), the y-intercept will be 1 and the slope will stay the same is the equation will be y=x+1

Question 1 of 6
Head the problem in the box below. Make a list to help you find the correct
answer
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk
Which of the following is the complete list of the
possible pairs of rodents?

Answers

Answer:

do you understand it

Step-by-step explanation:

do you understand it

What is the y-intercept

Answers

Answer:

y-intercept is (0, 9)

Step-by-step explanation:

At y-intercept, x is 0

[tex]y = 9[/tex]

Answer: (0, 9)

Concept:

The y-intercept of a function is the point at which the graph of the function crosses the y-axis.

In other words, the y-intercept is the point when the x value is 0.

Solve:

Find the point where the x value is 0

It is the fourth from the left, where the x value is 0.

The y value is 9.

Finalize the point

x value is 0

y value is 9

Point = [tex]\boxed{(0, 9)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

if the volume of cube is 125 cm cube . find its length


Answers

V= l^3
125 = l^3
Cube root 125
Length equals 5 cm

Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP

Answers

answer: 3 milliliters

solution: 12 ÷ 4 = 3

The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)

SO he used 3 milliters on each salad

Mark as Brainliest If the answer is helpful!

The inverse of the relation y = 9x – 4 can be obtained graphically by:

Answers

D) a reflection in the line y = x

The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.

What is the reflection of a line?

Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.

The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.

Hence Option D is correct.

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Please help will give brainly

Answers

Answer:

rational number

Step-by-step explanation:

it is being expressed in form of p/q

Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?

Answers

Answer:

5.70

Step-by-step explanation:

Take the price per bag and multiply by the number of bags

.95 * 6 =5.70

1/8+c=4/5 jus need to answer

Answers

1/8 + c = 4/5
c = 4/5 - 1/8
c = 32/40 - 5/40
c = 27/40

what do you call polygons with all sides same

Answers

Polygons with all same sides is an equilateral.

the supplementary are in the ratio 1:5. What is the measure of the smaller angle?

Answers

Answer:

[tex]thank \: you[/tex]

what is the arithmetic property of x+0*d=x

Answers

Identity property of addition: The sum of 0 and any number is that number. For example, 0 + 4 = 4 0 + 4 = 4 0+4=40, plus, 4, equals, 4.
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