Question

Use substitution to solve the linear of equations.

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

Answer 1

Answer is solution x = -2, y = -8
( -2, -8 )

Step by step

Your equations

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

To solve using substitution, substitute the value of one equation in for that variable in the other equation

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

3x + 20x = -46
Simplify

23x = -46
Divide both sides by 23 to solve for x

23/23 x = -46/23
Solve

x = -2

Now sub value of x into one equation to solve for y

y = 4x
y = 4 ( -2 )
y = -8

So your solutions where both lines meet is
x = -2, y = -8

Answer 2

Explanation:

y= 4x ---(1)

3x + 5y = -46 ---(2)

(1) x 5 : 5y = 20x

Sub (1) into (2)

3x + 20x = 46

23x = 46

x = 2