Question

Use substitution to solve the linear system of equations

Answer 1

we are given

system of equations

$y=4x$

$3x+5y=-46$

we can plug first equation into second equation

we get

$3x+5(4x)=-46$

Simplify left side

$3x+20x=-46$

$23x=-46$

Divide both sides by 23

and we get

$x=-2$

now, we can find y-value

$y=4*-2$

$y=-8$

so, our solution is

$(x,y)=(-2,-8)$.............Answer