Question

Use substitution to solve the linear system of equations

y=4x
3x+5y=-46

a. (-8,-2)
b. (8,-2)
c. (-2,8)
d. (-2,-8)

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