Question 286296: Use the elimination method to solve system equation:
6x-y=36
6y=6x-66 Found 2 solutions by oberobic, richwmiller:Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! The 'elimination' method could just as well be called the 'addition' method: you manipulate the equations until you add them to eliminate one unknown. Then use substitution to find the other unknown.
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6x - y = 36
6y = 6x - 66
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The second equation must be rearranged.
Subtract 6x from both sides.
-6x + 6y = -66
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The terms 6x and -6x would eliminate the 'x' values, allowing you to solve the 'y' values.
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6x - y = 36
-6x + 6y = -66
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Adding them.
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5y = -30
y = -6
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Substituting y = -6.
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6x -(-6) = 36
6x + 6 = 36
6x = 30
x = 5
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Check by substituting x=5 and y=-6 into the second equation.
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6y = 6x - 66
6(-6) = 6(5) -66
-36 = 30-66
-36 = -36
Correct.
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Answer:
x = 5
y = -6
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Done.
You can put this solution on YOUR website!
Wrong category this is a linear system
rearrange the second in x y order
6x-y=36
6x-6y=66
subtract first from second
6x-6y=66
6x-y=36
-5y=30
y=-6
6x-(-6)=36
6x+6=36
6x=30
x=5
(5,-6)
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