Jamir Summers

2022-12-05

To solve a system of equations, you need use substitution. $y=3x-2,y=2x-5$

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Expert

$y=3x-2$ (1)
$y=2x-5y$ (2)
Since both expressions 3x-2 and 2x-5 are equal to y, set them equal to each other forming an equation in terms of x
$3x-2=2x-5$
Subtract 2x on both sides
$3x-2x-2=-5$
$3x-2x=-5+2\phantom{\rule{0ex}{0ex}}x=-3$
Substitute the value of x into equation $y=3x-2$
$y=3×\left(-3\right)-2\phantom{\rule{0ex}{0ex}}y=-9-2\phantom{\rule{0ex}{0ex}}y=-11\phantom{\rule{0ex}{0ex}}\left(x,y\right)=\left(-3,-11\right)$

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