Question #acd2f

2 Answers
Jul 31, 2017

b= 2/c+a

Explanation:

Given: a/c =(b-a)a/2

Multiply both sides by 2/a:

2/c =b-a

Flip the equation:

b-a= 2/c

Add a to both sides:

b= 2/c+a

Jul 31, 2017

a/c=(b-a)a/2

=> b=2/c+a

Explanation:

We need to isolate b in the formula

a/c=(b-a)a/2

<=> Distribute

a/c=(ba)/2-a^2/2

<=> Add a^2/2 to both sides

a/c+a^2/2=(ba)/2

<=> Find a common denominator

(2a+a^2c)/(2c)=(ba)/2

<=> Multiply both sides by 2

(2a+a^2c)/c=ba

<=> Divide both sides by a

(2a+a^2c)/(ac)=b

<=> Simplify

(2+ac)/c=b

<=> Simplify
2/c+a=b