How do you solve y=x+5 and y=-2x+8?

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Answer 1 · 2015-10-06T14:22:34

The solution is
$color(blue)(x=1,y=6$

$y=color(blue)(x+5$ ..........equation $1$
$y=-2x+8$ .......equation $2$

Substituting equation $1$ in equation $2$

$y=-2x+8$
$color(blue)(x+5) = -2x+8$

$3x=8-5$

$3x=3$

$color(blue)(x=1$

Finding $y$ by substituting $x$ in equation $1$

$y=x+5$
$y=1+5$

$color(blue)(y=6$