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Solve (3)/(y+8)=(2)/(y-6) Select the correct choice below and, if necessary.fill in the answer box to complete your choice. A. The solution is y=square (Simplify your answer. Type an integer or a fraction.) B. There is no solution.

Pergunta

Solve
(3)/(y+8)=(2)/(y-6)
Select the correct choice below and, if necessary.fill in the answer box to complete your choice.
A. The solution is y=square  (Simplify your answer. Type an integer or a fraction.)
B. There is no solution.

Solve (3)/(y+8)=(2)/(y-6) Select the correct choice below and, if necessary.fill in the answer box to complete your choice. A. The solution is y=square (Simplify your answer. Type an integer or a fraction.) B. There is no solution.

Solução

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DanielaVeterano · Tutor por 10 anos

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To solve the equation $\frac {3}{y+8}=\frac {2}{y-6}$, we can cross-multiply to get rid of the fractions:<br /><br />$3(y-6) = 2(y+8)$<br /><br />Expanding both sides, we have:<br /><br />$3y - 18 = 2y + 16$<br /><br />Subtracting $2y$ from both sides, we get:<br /><br />$y - 18 = 16$<br /><br />Adding 18 to both sides, we have:<br /><br />$y = 34$<br /><br />Therefore, the solution is $y = 34$.
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