Carilah hp dari sitem persamaan linear dua variabel 3x - 5y=22 dan 4x + 3y=10

Diketahui :

3x - 5y = 22 (1)
4x + 3y = 10 (2)

Jawab :

Persamaan (1) dan (2)


3x - 5y = 22 | kali 3
4x + 3y = 10 | kali 5

9x - 15y = 66
20x + 15 = 50
-------------------- (+)
29x = 116
x = 116/29
x = 4

Substitusi (1)

3x - 5y = 22
3(4) - 5y = 22
12 - 5y = 22
- 5y = 22 - 12
- 5y = 10
y = 10/-5
y = -2

Jadi, Nilai

x = 4
y = -2

HP = {(x , y) = (4 , -2)}

Semoga membantu ;)

[tex]3x \: - \: 5y \: = \: 22 \\ 4x \: + \: 3y \: = \: 10 \\ \\ 9x \: - \: 15y \: = \: 66 \\ 20x \: + \: 15y \: = \: 50 \\ - - - - - - - - - + \: \\ 29x \: = \: 116 \\ x \: = \: 4 \\ \\ 3x \: - \: 5y \: = \: 22 \\ 3 \times 4 \: - \: 5y \: = \: 22 \\ 12 \: - 5y \: = \: 22 \\ - 5y \: = \: 22 \: - \: 15 \\ - 5 y \: = \: 10 \\ y \: = - 2 \\ [/tex]