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 elimination method.

First, we can multiply the first equation by 7 to get:

49x + 21y = -175

Then, we can add this equation to the second equation to eliminate x:

49x + 21y + (-7x + 9y) = -175 + (-47)

Simplifying, we get:

42y = -222

Dividing by 42:

y = -222 / 42
y = -37 / 7
y = -5

Now, we can substitute this value of y back into the first equation to find x:

7x + 3(-5) = -25
7x - 15 = -25
7x = -10
x = -10 / 7
x = -10 / 7

Therefore, the solution to the system of equations is x = -10 / 7 and y = -5.