solve the system of equations: 7x+3y=-25 , -7x+9y=-47

Answer 1

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

Let's begin by solving the first equation for x:

7x + 3y = -25
7x = -3y - 25
x = (-3y - 25) / 7

Now, substitute this expression for x into the second equation:

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

Now, substitute y = -6 back into the first equation 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 x = -1, y = -6.