Chapter 3: Q25. (page 127)

Solve the equation. Check your solution. $2 = 4 (3 k - 8) - 11 k$

Short Answer

Expert verified

The solution for the equation $2 = 4 (3 k - 8) - 11 k$ is $k = 34$ .

Step by step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{matrix} 2 = 4 (3 k - 8) - 11 k \\ 2 = 12 k - 32 - 11 k [distributiveproperty] \\ 2 = k - 32 [combineliketerms] \end{matrix}$

– Solve for k

$\begin{matrix} 2 + 32 = k - 32 + 32 [add32toeachside] \\ \begin{matrix} 34 = k [simplify] \\ k = 34 \end{matrix} \end{matrix}$

Therefore, the solution of the equation is $k = 34$ .

– Check the solution

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

$2 = 4 (3 k - 8) - 11 k$

Now, substitute $k = 34$ and check the result.

$\begin{matrix} 2 = 4 (3 \times 34 - 8) - 11 \times 34 \\ 2 = 4 (102 - 8) - 374 \\ 2 = 4 (94) - 374 \\ 2 = 376 - 374 \\ 2 = 2 \end{matrix}$

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. $2 = 4 (3 k - 8) - 11 k$

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for k

– Check the solution

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Solve the equation. Check your solution.2=4(3k-8)-11k

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for k

– Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Calculus

Geometry

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution. $2 = 4 (3 k - 8) - 11 k$