Use the elimination method to solve the system of equations .

Question

9x - 7y = 22
x + 3y = -24

Answer 1

First, multiply the second equation by 9:
9(x + 3y) = 9(-24)
Expanding the equation:
9x + 27y = -216

Next, add the first equation to the modified second equation:
9x - 7y + 9x + 27y = 22 - 216
Combining like terms:
18x + 20y = -194

Now you have a single equation:
18x + 20y = -194

You can solve this equation for either x or y to get the values of x and y.