I cannot figure this one out and I have been trying for a while
now. I need help please. Please show me the steps to solve this.
D Steele
Solve the system by substitution:
3X + 5Y = 2
 Y = -X + 2 

The second one is already solved for Y, so we replace
the "Y" in "3X + 5Y = 2" by what Y equals to, namely (-X + 2)
placed in parentheses.

So instead of 

3X + 5Y = 2

We write

3X + 5(-X + 2) = 2 

I will let you solve that

when you do you'll get X = 4

Now substitute (4) for X in

Y = -X + 2 

Y = -(4) + 2

Y = -2

So the solution is (X, Y) = (4, -2)

Edwin