Question #06657

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Question #06657

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Answer 1 · 2017-02-22T03:38:45

See the entire process below:

Explanation:

Step 1) Subtract $3$ $color(red)(3)$ from each side of the equation to isolate the $m$ $m$ term while keeping the equation balanced:

$- \frac{3}{4} m + 3 - 3 = 8 - 3$ $-3/4m + 3 - color(red)(3) = 8 - color(red)(3)$

$- \frac{3}{4} m + 0 = 5$ $-3/4m + 0 = 5$

$- \frac{3}{4} m = 5$ $-3/4m = 5$

Step 2) Multiply each side of the equation by $\frac{- 4}{3}$ $color(red)(-4)/color(blue)(3)$ to solve for $m$ $m$ while keeping the equation balanced:

$\frac{- 4}{3} \times - \frac{3}{4} m = \frac{- 4}{3} \times 5$ $color(red)(-4)/color(blue)(3) xx -3/4m = color(red)(-4)/color(blue)(3) xx 5$

$cancel(color(red)(-4))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(-3)))/color(red)(cancel(color(black)(4)))m = -20/3$

$m = -20/3$

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Question #06657

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