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Chapter 1: Q61. (page 25)

Solve each equation or formula for the specified variable.

ab-2c-3=x, for b.

Short Answer

Expert verified

The required answer is b=cx-3x+2aa.

Step by step solution

01

Step 1- Simplify the numerator of fraction on left side

Use distributive property ab+c=ab+ac on left side of the equation.

ab-2ac-3=x

02

Step 2- Multiply by c-3 on both sides of the equation

Perform multiplication ofc鈭�3 on both the sides of the equation.

c鈭�3ab鈭�2ac鈭�3=c鈭�3xab鈭�2a=cx鈭�3x

03

– Isolate the variable b

Perform addition of 2a on both the sides of the equation.

ab鈭�2a+2a=cx鈭�3x+2aab=cx鈭�3x+2a

Perform division of a on both the sides of the equation.

aba=cx鈭�3x+2aab=cx鈭�3x+2aa

04

Step 4- Make the conclusion

As the variable b is isolated so the value equivalent to it represents its value.

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