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Chapter 2: Q. 68 (page 112)

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

1.2x鈭�0.91=0.8x+2.29

Short Answer

Expert verified

The value of xis8

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with decimal coefficients.
1.2x鈭�0.91=0.8x+2.29

02

Step 2. The given equation is 1.2x−0.91=0.8x+2.29

Now we solve the given equation for the value ofx

03

Looking at the decimals and thinking of the equivalent fractions:

0.8=8101.2=12100.91=911002.29=229100

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(1.2x鈭�0.91)=100(0.8x+2.29)

Distribute first.

100脳1.2x鈭�100脳0.91=100脳0.8x+100脳2.29120x-91=80x+229

05

Step 5. Subtract 80x on both side 

120x-91-80x=80x+229-80x40x-91=229

Add 91 on both side

role="math" localid="1645508107719" 40x-91+91=229+9140x=3204040x=32040x=8

06

Step 6. Now checking the value. 

putting x=8in the given equation

1.2脳8鈭�0.91=0.8脳8+2.299.6-0.91=6.4+2.298.69=8.69

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