Question

2x+7y=48 and 3x-12y=27

Answer 1

3x - 12y = 27 -- divide by 3
x - 4y = 9
x = 4y + 9

now you can sub that in for x in the other equation
2x + 7y = 48
2(4y + 9) + 7y = 48
8y + 18 + 7y = 48
8y + 7y = 48 - 18
15y = 30
y = 30/15
y = 2
now sub 2 in for y in either equation to find x
x = 4y + 9
x = 4(2) + 9
x = 8 + 9
x = 17

check..
3x - 12y = 27
3(17) - 12(2) = 27
51 - 24 = 27
27 = 27 (correct)

solution : (17,2)