How do you solve the equation: h/9 = 7?

Mar 14, 2018

$h = 63$

Explanation:

$\text{multiply both sides by 9 }$

$\cancel{9} \times \frac{h}{\cancel{9}} = 9 \times 7$

$\Rightarrow h = 63 \text{ is the solution}$

Mar 14, 2018

h = 63

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
$\frac{h}{9} - 7 = 0$
Rewrite the whole as a fraction using 9 as the denominator: $7 = \frac{1}{7} = \frac{7 \cdot 9}{9}$
Add the two equivalent fractions which now have a common denominator:
$\frac{h - 7 \cdot 9}{9}$
Simplified:
$\frac{h - 63}{9} = 0$
Where a fraction equals zero, its numerator must equal zero.
To get rid of the denominator, multiply both sides of the equation by the denominator. $\frac{h - 63}{9} \cdot 9 = 0 \cdot 9$
9 is canceled.
$h - 63 = 0$
$h - 63 + 63 = 0 + 63$
$h = 63$