Question

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

y=3x−2
y=x+2

a) (1, 2)

b) (3, 6)

c) (2, 4)

d) (-1, -1)

Answer 1

c)
`(2, 4)`

Explanation:

x + 2 = 3x - 2

-3x - 3x

___________

−2x + 2 = −2

- 2 - 2

_________

−4 = −2x

__ ___

−2 −2

`2 = x` [Plug this back into both equations above to get the y-coordinate of 4];
`4 = y`

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