Question

Solve the system of equations.
8x−4y=−28

2x−6y=8
(1 point)
Responses

(7, 1)
left parenthesis 7 comma 1 right parenthesis

(−5,−3)
left parenthesis negative 5 comma negative 3 right parenthesis

(−2, 3)
left parenthesis negative 2 comma 3 right parenthesis

(−4,−1)

Answer 1

To solve the system of equations, we can use either substitution or elimination method.

Let's use the elimination method:

First, let's multiply the second equation by 4 to eliminate the x term:

4(2x - 6y) = 4(8)
8x - 24y = 32

Now we have two equations:

8x - 4y = -28
8x - 24y = 32

Next, subtract the first equation from the second equation:

(8x - 24y) - (8x - 4y) = 32 - (-28)
-20y = 60
y = -3

Now substitute the value of y back into one of the original equations:

8x - 4(-3) = -28
8x + 12 = -28
8x = -40
x = -5

Therefore, the solution to the system of equations is (-5, -3).