Math

QuestionSolve the system of equations: 2x3y=52x - 3y = 5 and x=2y8x = -2y - 8.

Studdy Solution

STEP 1

Question: What method should we use to solve this system of equations?
A) Addition B) Substitution C) Matrix multiplication D) Graphing
Answer: B) Substitution

STEP 2

Question: Substitute x from the second equation into the first equation, what do you get?
A) 2(-2y - 8) - 3y = 5 B) 2(-2y - 8) + 3y = 5 C) 2(-2y + 8) - 3y = 5 D) 2(-2y + 8) + 3y = 5
Answer: A) 2(-2y - 8) - 3y = 5

STEP 3

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A) -7y - 16 = 5 B) -7y + 16 = 5 C) -5y - 16 = 5 D) -5y + 16 = 5
Answer: A) -7y - 16 = 5

STEP 4

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A) y = -3 B) y = 3 C) y = -7 D) y = 7
Answer: A) y = -3

STEP 5

Question: Substitute y = -3 into the second equation to find x, what do you get?
A) x = -2 B) x = 2 C) x = -8 D) x = 8
Answer: A) x = -2

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