Question

Solve the system by the substitution method xy=6 x+y=-5

Answer 1

There are two answers

1) (-3,-2)

2) (-2,-3)

Here is my work in the picture- essentially, I subtracted x from the second equation, in order to have y set equal to something. Once y was equal to something, on its own, I was able to substitute it into the first equation. After I did that, I multiplied everything out and formed a quadratic function. I factored out the function and for two answers for x. I plugged both answers into either of the two equations above to find the corresponding y values.