How do you solve the following system?: $y=2x-3 , 5x + 3y = -3$

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Answer 1 · 2016-03-14T08:41:32

$x,y=6/11,-21/11$

$color(blue)(y=2x-3$

$color(blue)(5x+3y=-3$

Substitute the value of $y$ to the second equation

$rarr5x+3(2x-3)=-3$

Use distributive property $color(brown)(a(b+c)=ab+ac$

$rarr5x+6x-9=-3$

$rarr11x-9=-3$

$rarr11x=-3+9$

$rarr11x=6$

#color(green)(rArrx=6/1

Substitute the value of $x$ to the first equation

$rarry=2(6/11)-3$

$rarry=12/11-3$

$color(green)(rArry=-21/11$

How do you solve the following system?: y=2x-3 , 5x + 3y = -3 y=2x-3 , 5x + 3y = -3