Solve the system of equations.

Question

7x + 3y = - 25
-7x + 9y = -47 (1 point)

Answer 1

To solve this system of equations, we can use the method of addition or elimination.

When we add the two equations together, the x-terms will cancel out:

(7x + 3y) + (-7x + 9y) = -25 + (-47)
3y + 9y = -72
12y = -72
y = -6

Now, plug in the value of y into one of the equations to solve for x:

7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -1

Therefore, the solution to the system of equations is x = -1 and y = -6.