First, we can multiply the second equation by 9 so that the coefficients of x in both equations are the same:
9(x + 3y) = 9(-24)
9x + 27y = -216
Now, our system of equations is:
9x - 7y = 22
9x + 27y = -216
Next, we can subtract the first equation from the second equation:
(9x + 27y) - (9x - 7y) = -216 - 22
9x + 27y - 9x + 7y = -238
34y = -238
y = -7
Now that we have found the value of y, we can substitute it back into the second equation to find the value of x:
x + 3(-7) = -24
x - 21 = -24
x = -3
Therefore, the solution to the system of equations is x = -3 and y = -7.
Use the elimination method to solve the follow system of equations.
9x - 7y = 22
x + 3y = - 24
1 answer