Chapter 2: Q73. (page 62)

Solve each equation. Check your solution.
$\frac{1}{3} x - 4 = 1$

Short Answer

Expert verified

The solution of given equation is $x = 15$ .

Step by step solution

–Properties of equality.

According to the addition property of equality, if $a = b$ , then $a + c = b + c$ , where $a, b, c$ are real values.

According to the multiplication property of equality, if $a = b$ , then $a c = b c$ , where $a, b, c$ are real values.

– Given information.

The given equation is:

$\frac{1}{3} x - 4 = 1$

– Solve the given equation.

The given equation is:

$\frac{1}{3} x - 4 = 1$

Add $4$ on both sides of the above equation.

$\begin{array}{l} \frac{1}{3} x - 4 + 4 = 1 + 4 \\ \frac{1}{3} x = 5 \end{array}$

Multiply both sides by $3$ .

$\begin{array}{l} 3 \times \frac{1}{3} x = 3 \times 5 \\ x = 15 \end{array}$

Thus, the solution of given equation is $x = 15$ .

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for $x = 15$ then it is the correct solution.

Substitute $x = 15$ in the given equation.

$\begin{array}{l} \frac{1}{3} (15) - 4 = 1 \\ 5 - 4 = 1 \\ 1 = 1 \end{array}$

Left hand side is equal to the right hand side. Thus the solution $x = 15$ is correct.

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Solve each equation. Check your solution.
$\frac{1}{3} x - 4 = 1$

Short Answer

Step by step solution

–Properties of equality.

– Given information.

– Solve the given equation.

– Verify the solution.

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Column A	Column B
The slope of linem	1

Solve each equation. Check your solution.13x-4=1

Short Answer

Step by step solution

–Properties of equality.

– Given information.

– Solve the given equation.

– Verify the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Discrete Mathematics

Mechanics Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$\frac{1}{3} x - 4 = 1$