Question

A system of equations is shown below. Find the solution by using substitution.

y=3x+6
y=x+2

a) (-2, 0)

b) (0, -2)

c) (0, 2)

d) (2, 0)

Answer 1

a)
`(-2, 0)`

Explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

`-2 = x` [Plug this back into both equations above to get the y-coordinate of 0];
`0 = y`

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