How do solve the following linear system?: $- 6 x + 3 y = - 12, 2 x + y = 19$ $-6x+3y=-12 , 2x+y=19$ ?

Question

1666 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-09T07:37:15

$x = 5.75, y = 7.5$ $x=5.75,y=7.5$

Multiply the second equation by 3

$6 x + 3 y = 57$ $6x+3y=57$

Add $- 6 x + 3 y = - 12$ $-6x+3y=-12$

$\Rightarrow 6 y = 45$ $=> 6y=45$

Divide by 6

$y = 7.5$ $y=7.5$

Substitute $y = 7.5$ $y=7.5$ into the second equation

$2 x + 7.5 = 19$ $2x+7.5=19$

Subtract 7.5

$2 x = 11.5$ $2x=11.5$

Divide by 2

$x = 5.75$ $x=5.75$

How do solve the following linear system?: −6x+3y=−12,2x+y=19 -6x+3y=-12 , 2x+y=19 ?