1.hitung himpunan penyelesaian dari 2x+3y=5 & -2x -2y = -10 2.hitung x & y dari 2x -y =5 & x-2y=4

1) 2x + 3y = 5
-2x – 2y = – 10
———————(+)
y = – 5
2x + 3y = 5
2x + 3(-5) = 5
2x = 5 + 15
x = 10

2) 2x-y=5 |×1| 2x – y = 5
x – 2y = 4 |×2| 2x-4y= 8
———————————(-)
3y = – 3
y = – 1
x – 2y = 4
x – 2(-1) = 4
x = 4 – 2 = 2

3) 3x-5y=2 |×7| 21x – 35y=14
7x+3y=12 |×3| 21x + 9y = 36
———————————–(-)
-44y = -22
y = 2
3x – 5y = 2
3x – 5(2) = 2
3x – 10 = 2
3x = 12
x = 4

4) 5x – 2y = 8 –> 2y = 5x-8
3x + 2y = 8
3x + (5x – 8) = 8
3x + 5x = 8 + 8
8x = 16
x = 2
5x – 2y = 8
5(2) – 2y = 8
10 – 2y = 8
-2y = 8 – 10
y = 1

5) y-7x=-11 |×2| 2y-14x=-22
2y + 5x=16|×1| 2y + 5x = 16
———————————(-)
-19x = – 38
x = 2
y = 7x – 11
y = 7(2) – 11 = 3