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Question 720834: I need help with the following question,
What is the solution set of the following system of equations?
5x - 3y - 10 = 0
x + y - 7 = 0
The answer has to be one of the following,
1. {(31/8, 25/8)}
2. {(25/8, 31/8)}
3. {(45/2, 31/2)}
4. {(31/2, 45/2)}
I have tries combining them,
5x - 3y - 10=0
++++++++++++++
x + y - 7 =0
into 6x - 2y -17 = 0
6x - 2y -17 = 0
+2y +2y
6x - 17 = 2y
That's where I get lost.
-Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the solution set of the following system of equations?
5x - 3y - 10 = 0
x + y - 7 = 0
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Rearrange:
5x - 3y = 10
5x + 5y = 35
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Subtract to solve for "y":
2y = 45
y = 45/2
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Solve for "x" using x + y = 7
x + 22.5 = 7
x = -15.5 = -31/2
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Cheers,
Stan H.
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The answer has to be one of the following,
1. {(31/8, 25/8)}
2. {(25/8, 31/8)}
3. {(45/2, 31/2)}
4. {(-31/2, 45/2)}
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