How do solve the following linear system?: $3x-2y=2 , 5x-5y=10$ ?

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Answer 1 · 2016-08-15T18:49:06

$x = -2 and y=-4$

The elimination method is the best option here.

$3x-2y=2$ ...................................A
$5x-5y=10$ ..................................B

Ax-5: $" "-15x+10y =-10$ ................................C
Bx2: $" " 10x-10 y = 20$ .......................................D

C+D: $" " -5x " "= 10$
$" " x = -2$
Sub in A: $3(-2) -2y = 2$
$" " -6 -2y = 2$
$" "-6-2 = 2y$
$" "-8 = 2y$
$" " -4 = y$

Check in b:

$5(-2) -5(-4) = -10 + 20= 10$

How do solve the following linear system?: 3x-2y=2 , 5x-5y=10 3x-2y=2 , 5x-5y=10 ?