How do you solve the equation $9 = 1 + \frac{m}{7}$ $9=1+m/7$ ?

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Answer 1 · 2017-06-27T23:13:04

See a solution process below:

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

$- 1 + 9 = - 1 + 1 + \frac{m}{7}$ $-color(red)(1) + 9 = -color(red)(1) + 1 + m/7$

$8 = 0 + \frac{m}{7}$ $8 = 0 + m/7$

$8 = \frac{m}{7}$ $8 = m/7$

Step 2) Multiply each side of the equation by $7$ $color(red)(7)$ to solve for $m$ $m$ while keeping the equation balanced:

$7 \times 8 = 7 \times \frac{m}{7}$ $color(red)(7) xx 8 = color(red)(7) xx m/7$

$56 = 7 \times \frac{m}{7}$ $56 = cancel(color(red)(7)) xx m/color(red)(cancel(color(black)(7)))$

$56 = m$

$m = 56$

Answer 2 · 2017-06-27T23:23:53

56

$9=1+m/7$

$9-1=m/7$

$8=m/7$

$8*7=m$

$m=56$

How do you solve the equation 9=1+m/79=1+m79=1+m/7?