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