Chapter 3: Q. 17E (page 127)

Solve the equation. Check your solution.
$- 5 (3 n + 5) = 20$

Short Answer

Expert verified

The solution for the equation $- 5 (3 n + 5) = 20$ is $n = - 3$ .

Step by step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{matrix} - 5 (3 n + 5) = 20 \\ - 15 n - 25 = 20 \\ - 15 n + 25 - 25 = 20 + 25 \\ - 15 n = 45 \\ 15 n = - 45 \end{matrix}$

– Solve for n

Now, divide both sides of the equation by 15.

$\begin{matrix} \frac{15 n}{15} = \frac{- 45}{15} \\ n = - 3 \end{matrix}$

Therefore, the solution of the equation is $n = - 3$ .

– Check the solution

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

$- 15 n - 25 = 20$

Now, substitute $n = - 3$ and check the result.

$\begin{matrix} - 5 (3 (- 3) + 5) = 20 \\ - 5 (- 9 + 5) = 20 \\ - 5 (- 4) = 20 \\ 20 = 20 \end{matrix}$

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.
$- 5 (3 n + 5) = 20$

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for n

– Check the solution

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Solve the equation. Check your solution.-53n+5=20

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for n

– Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$- 5 (3 n + 5) = 20$