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40 votes
What is the solution to this system of equations x-2 y=15 2x+4y=-18

User DAnglin
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2 Answers

24 votes
24 votes

Answer:

x is 3 y is -6 I really hope this helps

What is the solution to this system of equations x-2 y=15 2x+4y=-18-example-1
User DdlyHeadshot
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2.6k points
11 votes
11 votes

Answer:

(3, - 6 )

Explanation:

x - 2y = 15 ( add 2y to both sides )

x = 2y + 15 → (1)

2x + 4y = - 18 → (2)

substitute x = 2y + 15 into (2)

2(2y + 15) + 4y = - 18 ← distribute parenthesis and simplify left side

4y + 30 + 4y = - 18

8y + 30 = - 18 ( subtract 30 from both sides )

8y = - 48 ( divide both sides by 8 )

y = - 6

substitute y = - 6 into (1)

x = 2(- 6) + 15 = - 12 + 15 = 3

solution is (3, - 6 )

User Akshay Vishnoi
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2.8k points