3x + 5y = 1 (eq 1)
2x - 3y = 7 (eq 2)
Step 1 - 2* (eq 1)
6x + 10y = 2 (eq 3)
Step 2 - 3* (eq 2)
6x - 9y = 21 (eq 4)
Step 3 - eq 4 - eq 3 to cancel the x
-19y = 19
Therefore, y = -1 (eq 5)
Step 4 - sub (eq 5) back into (eq 1)
3x + 5(-1) = 1
3x - 5 = 1
3x = 6 and therefore x = 2 (eq 6)
Step 5 - Sub (eq 5) and (eq 6) into (eq 2) to check answer.