Question

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.

Answer 1

@EndersWorld

Answer 2

You have to set them equal to each other since they both equal y
\(x + 4 =−2x − 2\)

Answer 3

Then subtract the x?

Answer 4

Yes you can do that

Answer 5

y = x + 4; y = −2x − 2

Solve y = x + 4 for y:

Substitute x + 4 for y in y = −2x − 2:

y = −2x − 2

x + 4 = −2x − 2

Add 2x to both sides

x + 4 + 2x = −2x − 2 + 2x

3x + 4 = −2

Add -4 to both sides

3x + 4 + −4 = −2 + −4

3x = −6

Divide both sides by 3

3x/3 = −6/3

x = −2

Substitute −2 for x in y = x + 4:

y = x + 4

y = −2 + 4

Simplify both sides of the equation

y = 2


Answer:

x = −2 and y = 2

Answer 6

Oh okay, thanks! Sorry @dude I was afk