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Which choice is a solution to the system of equations?

y=2x-3
y-9=-x


A(-3,12)

B (4,5)

C (5,4)

D (12,-3)

2 Answers

3 votes
The answer to these question is B
User Trts
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5 votes

Answer:

B

Explanation:

Given the 2 equations

y = 2x - 3 → (1)

y - 9 = - x → (2)

Substitute y = 2x - 3 into (2)

2x - 3 - 9 = - x

2x - 12 = - x ( add x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Substitute x = 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(4) - 3 = 8 - 3 = 5

Solution is (4, 5 ) → B

User Theodore
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