Use the elimination method to solve the follow system of equations. 9x−7y=22 x+3y=−24

Answer 1

First, multiply the second equation by 9 to make the coefficients of x the same as in the first equation:

9x + 27y = -216

Next, subtract the second equation from the first equation:

9x - 7y - (9x + 27y) = 22 - (-216)
9x - 7y - 9x - 27y = 22 + 216
-34y = 238
y = -7

Now substitute y = -7 back into the second equation to find x:

x + 3(-7) = -24
x - 21 = -24
x = -24 + 21
x = -3

Therefore, the solution to the system of equations is x = -3 and y = -7.