There a two possible ways of solving these equations:

1. Rearrangement then substitution

2. Adding the equations (the easier)

3X + 5Y = 1 x 3

2X - 3Y = 7 x 5

9X + 15Y = 3

10X - 15Y = 35

9X + 15Y + 10X - 15Y = 38

19X = 38

X = 2

2(2) - 3Y = 7

4 - 3Y = 7

4 - 7 = 3Y

-3 = 3Y

-1 = Y