tentukan himpunan penyelesaian dari pertik samaan 2x-5y=-2 dan -3x+4y=-4

2x - 5y = -2
-3x + 4y = -4

6x - 15y = -6
-6x + 8y = -8
___________+
-7y = -14
y = 2

2x - 5y = -2
2x - 5(2) = -2
2x - 10 = -2
2x = 8
x = 4

HP = {4, 2}

2x - 5y= -2 ------- p(1)
-3x + 4y = -4 ------p(2)

*eliminasi p(1) & p(2)
2x - 5y = -2 | (×3)
-3x + 4y = -4 | (×2)
_______________
=》6x -15y = -6
=》-6x + 8y = -8
______________ (+)
-7y = -14
y = 14/7
y = 2

*subsitusikan y=2 ke p(1)
2x - 5y = -2
2x - 5(2) = -2
2x - 10 = -2
2x = -2 + 10
2x = 8
x = 8/2
x = 4

jadi,
x = 4
y = 2