Question

Solve the equation: -7/10 = 3a/4 - 13/20? Help pleaseeee! Thanks

Answer 1

Answer:

Solving the equation $-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}$ we get: $\mathbf{a=-\frac{1}{15} }$

Step-by-step explanation:

We need to solve the equation:

$-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}$

And find the value of a

Solving the equation: $-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}$

First we will be Switching sides

$\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}$

Now, for finding value of a we will be adding 13/20 on both sides

$\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}$

$\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}$

Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:

$\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}$

Now, multiply both sides by 4/3

$\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}$

So, solving the equation $-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}$ we get: $\mathbf{a=-\frac{1}{15} }$