Question

What is he solution to the equation below​

Answer 1

Answer: G

Step-by-step explanation:

$\frac{7}{8}(x-\frac{1}{2})=-\frac{49}{80}$

To make it easier to solve, we can get rid of the fraction multiplying the parenthesis. To do this, we multiply by the reciprocal or the inverted fraction. Rather, if the fraction is 7/8, the reciprocal will be 8/7

$\frac{8}{7}*\frac{7}{8}(x-\frac{1}{2})=-\frac{49}{80}*\frac{8}{7}$

Note that 49 and 7 can be simplified.

49/7=7

7/7=1

80 and 8 can also be simplified.

80/8=10

8/8=1

Leaving our equation like;

$x-\frac{1}{2}=-\frac{7}{10}$

Add 1/2

$x=-\frac{7}{10}+\frac{1}{2}$

Combine like terms;

$x=\frac{-7*2+10*1}{10*2}$

$x=\frac{-14+10}{20}$

$x=-\frac{4}{20}$

Simplify.

4/4=1

20/4=5

$x=-\frac{1}{5}$