we are given
system of equations
[tex]y=4x[/tex]
[tex]3x+5y=-46[/tex]
we can plug first equation into second equation
we get
[tex]3x+5(4x)=-46[/tex]
Simplify left side
[tex]3x+20x=-46[/tex]
[tex]23x=-46[/tex]
Divide both sides by 23
and we get
[tex]x=-2[/tex]
now, we can find y-value
[tex]y=4*-2[/tex]
[tex]y=-8[/tex]
so, our solution is
[tex](x,y)=(-2,-8)[/tex].............Answer