x + 7y = 12 --- (1)
3x - 5y = 10 --- (2)
From (1), we have:
x = -7y + 12 --- (3)
Substituting (3) into (2), we will get:
3(-7y + 12) - 5y = 10
-21y + 36 - 5y = 10
-21y - 5y = 10 - 36
-26y = -26
y = -26 / -26
y = 1
Substituting y = 1 into (3), we will get:
x = -7(1) + 12
x = -7 + 12
x = 5
Hence, x = 5 and y = 1.