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Solve the system of equations using substitution. 3y = –1/2x + 2 y = –x + 9

2 Answers

3 votes

Answer: (10, –1)

Step-by-step explanation:

User Brian Schermerhorn
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6 votes
Answer:

For the given equations, (x,y)=(10,−1)

Step-by-step explanation:

[1]XXXX3y=−12x+2
[2]XXXXy=−x+9

While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2
[3]XXXX6y=−x+4

Substituting (from [2]) (−x+9) for y in [3]
[4]XXXX6(−x+9)=−x+4

Simplifying
[5]XXXX−6x+54=−x+4
[6]XXXX5x=50
[7]XXXXx=10

Substituting (from [7]) 10 for x in [2]
[8]XXXXy=−10+9=−1

User Min Khant Lu
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