Jika dalam persamaan 5x-3y = 20 dan 3x-5y = -4,maka 6x-4y adalah?
5x-3y = 20 …………. [1]
3x-5y = -4 …………. [2]
eliminasi kedua persamaan :
5x-3y = 20 |x3| 15x-9y = 60
3x-5y = -4 |x5| 15x-25y = -20
____________–
16y = 80
y = 80/16
y = 5
substitusi nilai y kesalah satu persamaan :
5x-3y = 20
5x-3(5) = 20
5x-15 = 20
20 = 5x-15
5x = 20+15
5x = 35
x = 35/5
x = 7
dengan demikian :
6x-4y = 6(7)-4(5)
= 42-20
= 22 <—- Jawaban
5x – 3y = 20 (×3)
3x – 5y = -4 (×5)
————–
15x – 9y = 60
15x – 25y = -20
——————- –
16y = 80
y = 80/16
y = 5
5x – 3y = 20
5x – 3(5) = 20
5x – 15 = 20
5x = 20 + 15
5x = 35
x = 35/5
x = 7
maka,
6x – 4y =
6(7) – 4(5) =
42 – 20 =
22