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

ok first step
you can substitute x + 4 into y for the second equation

Answer 2

so instead of y in the second equation, you would have
\(x+4=-2x-2\)

Answer 3

now we can combine like terms
add \(x+2x=\)? @automaticloveletter

Answer 4

what do you get?

Answer 5

uhh I have no clue but 6? :/ I know i'm wrong

Answer 6

no imagine x = \(1x\)
what is \(1x+2x=1+2=?\)

Answer 7

3

Answer 8

so \(3x\)

Answer 9

now you have
\(3x+4=-2\)

Answer 10

now subtract \(-2-4=\)?

Answer 11

-6

Answer 12

\(3x=-6\)
divide \(\dfrac{-6}{3}\)

Answer 13

-2

Answer 14

so x = -2

Answer 15

now let's use the first equation and put -2 for x
\(y=-2+4\\-2+4=?\)

Answer 16

2

Answer 17

so y = 2
your answer is
\((-2,2)\)

Answer 18

thank you for explaining

Answer 19

your welcome \(\ddot\smile\)