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Answer:
x=3y−1x=3y-1
x+2y=9x+2y=9
Replace all occurrences of xx with 3y−13y-1 in each equation.
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Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.
(3y−1)+2y=9(3y-1)+2y=9
x=3y−1x=3y-1
Add 3y3y and 2y2y.
5y−1=95y-1=9
x=3y−1x=3y-1
Solve for yy in the first equation.
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Move all terms not containing yy to the right side of the equation.
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Add 11 to both sides of the equation.
5y=9+15y=9+1
x=3y−1x=3y-1
Add 99 and 11.
5y=105y=10
x=3y−1x=3y-1
Divide each term by 55 and simplify.
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Divide each term in 5y=105y=10 by 55.
5y5=1055y5=105
x=3y−1x=3y-1
Cancel the common factor of 55.
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Cancel the common factor.
5y5=1055y5=105
x=3y−1x=3y-1
Divide yy by 11.
x=5,y=2
Step-by-step explanation:
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