1. himpunan penuelesaian 2x + 3y = 2 dan 3x + y = 10 adalah...

langsung aja y

2x + 3y = 2 (×1)
3x + y = 10 (×3)

2x + 3y = 2
9x + 3y = 30
__________-
-7x = -28
x = 4

3x + y = 10
y = 10 - 3(4)
y = 10 - 12
y = -2

HP {4 , -2}

semoga berguna +_+

Bab Persamaan Linear
Matematika SMP Kelas VIII



2x + 3y = 2 (persamaan 1)

3x + y = 10
y = 10 - 3x (persamaan 2)

Substitusikan pers.2 ke pers.1
2x + 3y = 2
2x + 3(10-3x) = 2
2x + 30 - 9x = 2
-7x = 2 - 30
-7x = -28
x = 4

y = 10 - 3x
y = 10 - 3(4)
y = 10 - 12
y = -2.

Himpunan penyelesaian
= {x,y}
= {4 , -2}