x - y = 1

5x + 3y = 45

Using only the substitution method.

here's what I've got:

x - y - y = 1 - y

x = 1-y

5(1-y) + 3y = 45

5-5y + 3y = 45

so -5y + 3y = -2y and 45 - 5 = 40

I think this may be where I'm going wrong. But I am my own teacher w/ only one example in a workbook for a guide

so -2y = 40 or 2y = -40

y = -20

now substituting -20 for y in the first problem:

x - (-20) = 1

x = -19

works great for the first problem but for the second problem...

5(-19) + 3 (-20) = 45

-45 + -60 = -105

and that's how good of a teacher I am for myself