Solve using algebra method?

3 (2x+9y=48)
2 (-3x+y = 15)

6x + 27y = 144
-6x + 2y = 30

add these two equations together

29y = 174
y = 6

2x + 9(6) = 48
2x + 54 = 48
2x = -6
x = -3

x = -3 and y = 6

6x + 27y = 144
-6x + 2y = 30------ADD

29y = 174
y = 6

2x + 54 = 48
2x = - 6
x = - 3

x = - 3 , y = 6

2x + 9y = 48
9y = 48 - 2x
y = (48 - 2x)/9

-3x + y = 15
-3x + (48 - 2x)/9 = 15
9[-3x + (48 - 2x)/9] = 9(15)
-27x + 48 - 2x = 135
-27x - 2x = 135 - 48
-29x = 87
x = 87/-29
x = -3

2x + 9y = 48
2(-3) + 9y = 48
-6 + 9y = 48
9y = 48 + 6
9y = 54
y = 54/9
y = 6

∴ x = -3 , y = 6