Question

Solve the system of equations.
7x+3y=−25
−7x+9y=−47 (1 point)
(___, ___)

Answer 1

wrong

Answer 2

(4, -23)

Answer 3

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

Given equations:
7x + 3y = -25 ...(1)
-7x + 9y = -47 ...(2)

Adding the two equations together to eliminate x:
(7x + 3y) + (-7x + 9y) = -25 + (-47)
3y + 9y = -72
12y = -72
y = -72 / 12
y = -6

Now substitute y = -6 back into equation (1) to solve for x:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -7 / 7
x = -1

Therefore, the solution to the system of equations is:
(−1, −6)