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Given the equation (4m + 3n)/(4m − 3n) = (3)/(2), find the value of (m)/(n).

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

3.

  1. The given equation is 4m+3n4m−3n=32\frac{4m + 3n}{4m - 3n} = \frac{3}{2}.

    Cross-multiply to eliminate the denominators.

    2(4m+3n)=3(4m−3n)2(4m + 3n) = 3(4m - 3n)

  2. Distribute the numbers on both sides of the equation.

    8m+6n=12m−9n8m + 6n = 12m - 9n

  3. Group the terms involving mm on one side and terms involving nn on the other side.

    6n+9n=12m−8m6n + 9n = 12m - 8m 15n=4m15n = 4m

  4. To find the

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