Use substitution to solve the linear system of equations.
{y=4x
{3x+5y=-46
(-8, -2)
(8, -2)
(-2, -8)
(-2, 8)
First, we use the first equation to substitute y in the second equation:
3x + 5(4x) = -46
Simplify and solve for x:
3x + 20x = -46
23x = -46
x = -2
Now that we know x = -2, we can substitute this value into the first equation to find y:
y = 4(-2)
y = -8
Therefore, the solution to the system of equations is (-2, -8).