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5 votes
(03.05 MC)

Solve the rational equation
4x +3 8x-1
5
9
x = 0,5
Ox=2
Ox=8
O x = 9

1 Answer

4 votes

Answer:

x = 8

Explanation:

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(4x+3)/(8x-1)=(5)/(9)\\\\9(4x+3)=5(8x-1)\qquad\text{multiply by $9(8x-1)$}\\\\36x+27=40x-5\qquad\text{eliminate parentheses}\\\\32=4x\qquad\text{add $5-36x$}\\\\\boxed{x=8}\qquad\text{divide by 4}

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