In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3x - 2y = 11 eq. 1
-x + 6y = 7 eq.2
x = ?
y = ?
Step 02:
3x - 2y = 11
-x + 6y = 7 * (3)
3x - 2y = 11
-3x + 18y = 21
-----------------------
16y = 32
y = 32 / 16 = 2
y in eq. 1
3x - 2y = 11
3x - 2(2) = 11
3x - 4 = 11
3x = 11 + 4
x = 15 /3 = 5
The answer is:
x = 5
y = 2