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Chapter 2: Q. 63 (page 112)

In the following exercises, solve each equation with fraction coefficients.

7u鈭�14鈭�1=4u+85

Short Answer

Expert verified

The value ofu=3

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with fraction coefficients.

7u鈭�14鈭�1=4u+85

02

Step 2. The given equation is 7u−14−1=4u+85

Now we solve the given equation for the value ofu

03

Step 3. We want to clear the fractions by multiplying both sides of the equation by the LCD of all the fractions in the equation. 

Finding the LCD of all fractions in the equation.

The numbers are4,5

So the LCD is20

04

Step 4. Multiply both sides of the equation by 20.

207u鈭�14鈭�1=204u+85

Distribute.

20脳7u鈭�14鈭�20脳1=44u+857u鈭�1鈭�20=44u+835u-5-20=16u+3235u-25=16u+32

05

Step 5. Simplify—notice, no more fractions. 

Subtract 16uon both side

Add 25 on both side

role="math" localid="1645455527695" 19u-25+25=32+2519u=571919u=5719u=3

06

Step 6. Now checking the value. 

Putting u=3in the given equation

7脳3鈭�14鈭�1=4脳3+8521鈭�14鈭�1=12+85204-1=2055-1=44=4

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