Question

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality?

Answer 1

Answer:

step 2

Step-by-step

the other guy said it.

Answer 2

Rahul use addition property of equality in step 2.

Solution:

The image of the question is attached below.

Step 1:

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

combine like terms together.

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

To make the denominator same multiply and divide 2x by 5.

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

Step 2:

$\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}$

By addition property of equality, add $\frac{1}{4}$ on both side of the equation.

$\frac{7}{5} x-\frac{1}{4}+\frac{1}{4}=\frac{55}{4}+\frac{1}{4}$

Step 3:

$\frac{7}{5} x=\frac{56}{4}$

Step 4:

Multiply by $\frac{5}{7}$ on both side of the equation.

$x=10$

Hence Rahul use addition property of equality in step 2.