Question

A+4/3 - a/7 = a+7/5
What is the answer

Answer 1

a = –7

Solution:

Given expression is

$\frac{a+4}{3} -\frac{a}{7} =\frac{a+7}{5}$

Combine like terms together, we get

$\frac{a+4}{3} -\frac{a}{7} -\frac{a+7}{5}=0$

Take LCM for the denominators (LCM of 3, 7, 5 = 105) to make it same.

$\frac{(a+4)\times35}{3\times35} -\frac{a\times15}{7\times15} -\frac{(a+7)\times21}{5\times21}=0$

$\frac{3a+140}{105} -\frac{15a}{105} -\frac{21a+147}{105} =0$

$\frac{3a+140+15a-21a-147}{105} =0$

$\frac{3a+15a-21a+140-147}{105} =0$

$\frac{-a-7}{105} =0$

Do cross multiplication.

$-a-7=0$  (Any number multiplied by 0 gives 0)

$-a=7$

Multiply (–1) on both sides to get the positive a.

a = –7

Hence, the answer is a = –7.