Solve the system using elementary row operations?

2(x + 3y) + 3(4x - 2y) = 2(10) + 3(- 16)
2x + 6y + 12x - 6y = 20 - 48
14x = - 28
x = - 2

- 2 + 3y = 10
3y = 12
y = 4

Answer: x = 2, y = 4
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5x - 3y - 3x + 3y = - 5 + 9
2x = 4
x = 2

5(2) - 3y = - 5
3y = 10 + 5
3y = 15
y = 5

Answer: x = 2, y = 5

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x+3y=10 ......(1)
4x-2y= -16 ......(2)
4(1)-(2): 14y=56
y=4
substitute to (1): x+12=10
x=-2

5x-3y=-5 ......(1)
-3x+3y=9 ......(2)
3(1)+5(2): 6y=30
y=5
substitute to (1): 5x-15=-5
x=2