Question

Two math questions

1.
Consider the following pair of equations:

y = x + 4
y = –2x – 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)



2. attached

Answer 1

1. Substitute y in the first equation into the second one.
x+4=-2x-2

Add 2x to both sides
3x+4=-2

Subtract 4 from both sides
3x=-6

Divide both sides by 3
x=-2

Plug in the x value
y=-2+4
y=2

Final answer: (-2,2)

2. There are 0 solutions because the lines are parallel and will never cross each other