Question

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

y=−2x+3
y=5x−4

a) (1, 1)

b) (1, 0)

c) (-1, 1)

d) (0, 1)

Answer 1

a)
`(1, 1)`

Explanation:

5x - 4 = −2x + 3

-5x - 5x

____________

−4 = −7x + 3

- 3 - 3

_________

−7 = −7x

__ ___

−7 −7

1 = x [Plug this back into both equations above to get the y-coordinate of 1]; 1 = y

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