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
$x = 1, y = 6$ $color(blue)(x=1,y=6$

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

Substituting equation $1$ $1$ in equation $2$ $2$

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

$3 x = 8 - 5$ $3x=8-5$

$3 x = 3$ $3x=3$

$x = 1$ $color(blue)(x=1$

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

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

$y = 6$ $color(blue)(y=6$