Jika x dan y memenuhi hubungan ![\left[\begin{array}{ccc}2&3\\-1&2\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%5C%5C-1%262%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}2&3\\-1&2\\\end{array}\right]")
![\left[\begin{array}{ccc}x\\y\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}x\\y\\\end{array}\right]")
= ![\left[\begin{array}{ccc}8\\-5\\\end{array}\right]](https://tex.z-dn.net/?f=+%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C-5%5C%5C%5Cend%7Barray%7D%5Cright%5D+ "\left[\begin{array}{ccc}8\\-5\\\end{array}\right]")
maka nilai x + y = . . .
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2x + 3y = 8 .... (1)
-x + 2y = -5 ..... (2)
eliminasi,
pers (1) kali 2 dan pers(2) kali 3, maka
4x + 6y = 16
-3x + 6y = -15
------------------ (-)
7x = 31
x = 31/7
substitusi
-x + 2y = -5
-31/7 + 2y = -5
2y = -5 + 31/7
2y = -4/7
y = -2/7
Dg demikian nilai x + y = 31/7 - 2/7 = 29/7