Chapter 2: Q. 66 (page 113)

In the following exercises, solve each equation with decimal coefficients.
$0.7 x + 0.4 = 0.6 x + 2.4$

Short Answer

Expert verified

The value of $x$ is $20$

Step by step solution

Step 1. Given Information

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

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

Now we solve the given equation for the value of $x$

Looking at the decimals and thinking of the equivalent fractions:

$0.4 = \frac{4}{10} 0.6 = \frac{6}{10} 0.7 = \frac{7}{10} 2.4 = \frac{24}{10}$

The LCD is 10.

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

To clear decimals, multiply by 10.

$10 (0.7 x + 0.4) = 10 (0.6 x + 2.4)$

Distribute first.

$10 \times 0.7 x + 10 \times 0.4 = 10 \times 0.6 x + 10 \times 2.4 7 x + 4 = 6 x + 24$

Step 5. Subtract 6x on both side

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

Subtract 4 on both side

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

Step 6. Now checking the value.

putting $x = 20$ in the given equation

$0.7 \times 20 + 0.4 = 0.6 \times 20 + 2.4 14 + 0.4 = 12 + 2.4 14.4 = 14.4$

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In the following exercises, solve each equation with decimal coefficients.
$0.7 x + 0.4 = 0.6 x + 2.4$

Short Answer

Step by step solution

Step 1. Given Information

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

Looking at the decimals and thinking of the equivalent fractions:

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

Step 5. Subtract 6x on both side

Step 6. Now checking the value.

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In the following exercises, solve each equation with decimal coefficients.0.7x+0.4=0.6x+2.4

Short Answer

Step by step solution

Step 1. Given Information

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

Looking at the decimals and thinking of the equivalent fractions:

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

Step 5. Subtract 6x on both side

Step 6. Now checking the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation with decimal coefficients.
$0.7 x + 0.4 = 0.6 x + 2.4$