Chapter 3: Q. 18 (page 122)

Solve the equation. Check your solution.
$- \frac{x}{2} + 4 = 12$

Short Answer

Expert verified

The solution for the equation $- \frac{x}{2} + 4 = 12$ is $x = - 16$

Step by step solution

. Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l} - \frac{x}{2} + 4 = 12 \\ - \frac{x}{2} = 12 - 4 \\ - \frac{x}{2} = 8 \end{array}$

. Solve for x

Now, multiply both sides of the equation by 2.

$\begin{array}{l} - \frac{x}{2} \times 2 = 8 \times 2 \\ - x = 16 \\ x = - 16 \end{array}$

Therefore, the solution of the equation is $x = - 16$

. Check the solution

To check the solution, write the original equation and substitute the value of x.

$- \frac{x}{2} + 4 = 12$

Now, substitute

$x = - 16$

and check the result.

$\begin{array}{l} - \frac{(- 16)}{2} + 4 = 12 \\ \frac{16}{2} + 4 = 12 \\ 8 + 4 = 12 \\ 12 = 12 \end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct..

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Solve the equation. Check your solution.
$- \frac{x}{2} + 4 = 12$

Short Answer

Step by step solution

. Separate the variable and constants

. Solve for x

. Check the solution

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Solve the equation. Check your solution. -x2+4=12

Short Answer

Step by step solution

. Separate the variable and constants

. Solve for x

. Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$- \frac{x}{2} + 4 = 12$