Chapter 2: Q72. (page 62)

Solve each equation. Check your solution.
$0 = \frac{1}{2} x - 3$

Short Answer

Expert verified

The solution of given equation is $x = 6$ .

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:

$0 = \frac{1}{2} x - 3$

– Solve the given equation.

The given equation is:

$0 = \frac{1}{2} x - 3$

Add $3$ on both sides of the above equation.

$\begin{array}{l} 0 + 3 = \frac{1}{2} x - 3 + 3 \\ 3 = \frac{1}{2} x \end{array}$

Multiply both sides by $2$ .

$\begin{array}{l} 2 \times 3 = 2 \times \frac{1}{2} x \\ 6 = x \end{array}$

Thus, the solution of given equation is $x = 6$ .

– Verify the solution.

If left hand side of the given equation is equal to the right hand side of the equation for $x = 6$ then it is the correct solution.

Substitute $x = 6$ in the given equation.

$\begin{array}{l} 0 = \frac{1}{2} (6) - 3 \\ 0 = 3 - 3 \\ 0 = 0 \end{array}$

Left hand side is equal to the right hand side. Thus the solution $x = 6$ is correct.

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Solve each equation. Check your solution.
$0 = \frac{1}{2} x - 3$

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.0=12x-3

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

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Decision Maths

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Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$0 = \frac{1}{2} x - 3$