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

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Answer 1 · 2018-06-09T07:37:15

$x=5.75,y=7.5$

Multiply the second equation by 3

$6x+3y=57$

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

$=> 6y=45$

Divide by 6

$y=7.5$

Substitute $y=7.5$ into the second equation

$2x+7.5=19$

Subtract 7.5

$2x=11.5$

Divide by 2

$x=5.75$

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