SYSTEM OF LINEAR EQUATION TWO VARIABLE / SISTEM PERSAMAAN LINEAR DUA VARIABEL

System of linear equation two variable Calculator
Kalkulator Sistem Persamaan Linear Dua Variabel

Input constant and coefisien of x and y

Masukkan Koofisien x, y dan konstanta

x + y =
x + y =

x =
y =

The unique solution to the system:
Solusi dari sistem persamaan linear:
$ax+by=c$
$px+qy=r$
Are / adalah:
$x=\frac{cq-rb}{aq-pb}$  and  $y=\frac{ar-pc}{aq-pb}$

For Example / Contoh:
Is there a unique solution to the system?
Solusi dari sistem persamaan linear berikut adalah...
2x + 5y = 12
  x + 4y = 15

Solution / Jawaban:
a = 2, b = 5, c = 12
p = 1, q = 4, r = 15

$x=\frac{cq-rb}{aq-pb}$

    $=\frac{12×4-15×5}{2×4-1×5}$

    $=\frac{48-75}{8-5}$

    $=\frac{-27}{3}$

    $=-9$

$y=\frac{ar-pc}{aq-pb}$

    $=\frac{2×15-1×12}{2×4-1×5}$

    $=\frac{30-12}{8-5}$

    $=\frac{18}{3}$

    $=6$

The Solution are x = -9 and y = 6.

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