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Chapter 2: Q. 67 (page 112)

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

0.9x鈭�1.25=0.75x+1.75

Short Answer

Expert verified

The value of xis20

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with decimal coefficients.
0.9x鈭�1.25=0.75x+1.75

02

Step 2. The given equation is 0.9x−1.25=0.75x+1.75

Now we solve the given equation for the value ofx

03

Looking at the decimals and thinking of the equivalent fractions:

0.9=9101.25=1251000.75=751001.75=175100

The LCD is 100.

04

Step 4. By multiplying by the LCD we will clear the decimals from the equation. 

To clear decimals, multiply by 100.

100(0.9x鈭�1.25)=100(0.75x+1.75)

Distribute first.

100脳0.9x鈭�100脳1.25=100脳0.75x+100脳1.7590x-125=75x+175

05

Step 5. Subtract 75x on both side 

90x-125-75x=75x+175-75x15x-125=175

Add 125on both side

15x-125+125=175+12515x=3001515x=30015x=20

06

Step 6. Now checking the value. 

putting x=20in the given equation

0.9脳20鈭�1.25=0.75脳20+1.7518-1.25=15+1.7516.75=16.75

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