How do you solve the following system?: $-x+5y=7 , x=-3x + 4y-17$

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Answer 1 · 2016-01-01T12:37:47

$x=-9.5, y=-0.5$

$-x+5y=7$

$x=5y-7$ --- $(1)$

$x=-3x+4y-17$

$2x-4y=-17$ --- $(2)$

Subsitute $(1)$ into $(2):$

$2(5y-7)-4y=-17$

$10y-14-4y=-17$

$6y=14-17$

$6y=-3$

$y=-0.5$

Subsitute $y=-0.5$ into $(1)$ :

$x=5(-0.5)-7$

$x=-2.5-7$

$x=-9.5$

x=-9.5, y=-0.5

How do you solve the following system?: -x+5y=7 , x=-3x + 4y-17 -x+5y=7 , x=-3x + 4y-17