Solve the system below using substitution write your final answer as a coordinate point

y = -2x + 4
-x + 3y = -9

(3, - 2 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

- x + 3y = - 9 → (2)

Substitute y = - 2x + 4 into (2)

- x + 3(- 2x + 4) = - 9 ← distribute and simplify left side

- x - 6x + 12 = - 9

- 7x + 12 = - 9 ( subtract 12 from both sides )

- 7x = - 21 ( divide both sides by - 7 )

x = 3

Substitute x = 3 into (1) for corresponding value of y

y = - 2(3) + 4 = - 6 + 4 = - 2

Solution is (3, - 2 )

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

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