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Chapter 2: Q. 66 (page 113)

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

0.7x+0.4=0.6x+2.4

Short Answer

Expert verified

The value ofxis20

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with decimal coefficients.
0.7x+0.4=0.6x+2.4

02

Step 2. The given equation is 0.7x+0.4=0.6x+2.4

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=6100.7=7102.4=2410

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.

100.7x+0.4=10(0.6x+2.4)

Distribute first.

10脳0.7x+10脳0.4=10脳0.6x+10脳2.47x+4=6x+24

05

Step 5. Subtract 6x on both side 

7x+4-6x=6x+24-6xx+4=24

Subtract 4 on both side

x+4-4=24-4x=20

06

Step 6. Now checking the value. 

putting x=20in the given equation

0.7脳20+0.4=0.6脳20+2.414+0.4=12+2.414.4=14.4

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