Question

3. Solve each system by substitution
y=-3x
4x - 2y = -20

Answer 1

First, we will solve the first equation for y in terms of x:
y = -3x

Next, we will substitute this expression for y in the second equation:
4x - 2(-3x) = -20

Simplifying, we have:
4x + 6x = -20
10x = -20
x = -20/10
x = -2

Now substitute this value of x back into the first equation to find y:
y = -3(-2)
y = 6

Therefore, the solution to the system of equations is x = -2 and y = 6.