Question

2x – y = –7 4x – y = –4 (1 point) Responses (–1.5, 4) (–1.5, 4) (1.5, 10) (1.5, 10) (4, –1.5) (4, –1.5) (–1.5, –2)

Answer 1

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method here:

First, let's multiply the first equation by 2 to eliminate the y variable:

2(2x - y = -7) becomes 4x - 2y = -14

Now we have the system:

4x - 2y = -14
4x - y = -4

Subtract the second equation from the first:

4x - 2y - (4x - y) = -14 - (-4)
4x - 2y - 4x + y = -14 + 4
-y = -10
y = 10

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

2x - 10 = -7
2x = 3
x = 1.5

Therefore, the solution to the system of equations is (1.5, 10).