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Chapter 2: Q. 65 (page 113)

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

0.4x+0.6=0.5x鈭�1.2

Short Answer

Expert verified

The value ofxis18

Step by step solution

01

Step 1. Given Information 

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

0.4x+0.6=0.5x鈭�1.2

02

Step 2. The given equation is 0.4x+0.6=0.5x−1.2

Now we solve the given equation for the value ofx

03

Looking at the decimals and thinking of the equivalent fractions:

0.4=4100.6=6100.5=510

The LCD is 10.

04

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

To clear decimals, multiply by 10.

100.4x+0.6=100.5x鈭�1.2

Distribute

10脳0.4x+10脳0.6=10脳0.5x鈭�10脳1.24x+6=5x-12

05

Step 5. Subtract 4x on both side

4x+6-4x=5x-12-4xx-12=6

Add 12 on both side

x-12+12=6+12x=18

x-12+12=6+12x=18
06

Step 6. Now checking the value.

putting x=18in the given equation

0.4脳18+0.6=0.5脳18鈭�1.27.2+0.6=9.0-1.27.8=7.8

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