SOLUTION: Please help me solve these equations. I have attempted to understand them but it has been to much. It would help so much if you solve showing step by step. Solve the systems of lin

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Please help me solve these equations. I have attempted to understand them but it has been to much. It would help so much if you solve showing step by step. Solve the systems of lin      Log On


   

Question 699728: Please help me solve these equations. I have attempted to understand them but it has been to much. It would help so much if you solve showing step by step. Solve the systems of linear equations by using substitution.Thank you.
1. 7x-3y=-23 2. x-y=3 3. x-y=3 4. 7x+2y=24
x+5y=32 2x-2y=6 2x-2y=6 x+2y=0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. 7x-3y=-23 2. x-y=3 3. x-y=3 4. 7x+2y=24
x+5y=32 2x-2y=6 2x-2y=6 x+2y=0

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1. Multiply thru the bottom equation by 7.
7x - 3y = -23
7x +35y = 234
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Subtract and solve for "y":
38y = 257
y = 6.76
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Solve for "x" using x + 5y = 32
x + 5(6.76) = 32
x + 33.82= 32
x = -1.82
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2. x-y = 3
2x-2y=6
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Multiply thru the top equation by 2:
2x - 2y =6
2x - 2y = 6
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Ans: All points of the form (x, x-3)
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Etc.
Cheers,
Stan H.