Question

Rahul solved the equation 2(x –1/8 )–3/5x =55/4 . In which step did he use the addition property of equality?

Answer 1

Explanation:

Since we have given that

$2(x-\frac{1}{8})-\frac{3x}{5}=\frac{55}{4}$

Now, we'll simplify the equation,

$2x-\frac{1}{4}-\frac{3x}{5}=\frac{55}{8}\\\\\frac{10x-3x}{5}-\frac{1}{4}=\frac{55}{8}\\\\\frac{7x}{5}-\frac{1}{4}=\frac{55}{8}$

At this stage we'll use the addition property of equality i.e.

$a=b\\\\a+c=b+c$

So, our equation becomes

$\frac{7x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{55}{8}+\frac{1}{4}\\\\\frac{7x}{5}=\frac{55+2}{8}\\\\x=\frac{57}{8}\times \frac{5}{7}\\\\x=\frac{285}{56}$