Chapter 3: Q26. (page 133)

Write the verbal sentence as an equation. Then solve the equation.
Twelve less than -9 times a number is equal to 8 minus 4 times the number.

Short Answer

Expert verified

The required equation is $- 9 x - 12 = 8 - 4 x$ and the solution is $x = - 4$

Step by step solution

Step-1 – Given

12 less than $- 9$ times a number is equal to 8 minus 4 times the number.

Step-2 – To determine

We have to write the equation by writing verbal sentence as equation. Then we solve the equation.

Step-3 – Calculation

Let the unknown number is x

So, 12 less than $- 9$ times a number = $- 9 x - 12$

8 minus 4 times the number = $8 - 4 x$

According to the question $- 9 x - 12 = 8 - 4 x$

Now we solve the equation,

$\begin{array}{l} - 9 x - 12 = 8 - 4 x writetheoriginalequation \\ - 9 x + 4 x - 12 = 8 - 4 x + 4 x add 4 x tobothsides \\ - 5 x - 12 = 8 simplify \\ - 5 x - 12 - 8 = 8 - 8 subtract8frombothsides \\ - 5 x - 20 = 0 simplify \\ - 5 x = 20 \\ \frac{- 5 x}{- 5} = \frac{20}{- 5} divideeachsideby - 5 \\ x = - 4 simplify \end{array}$

Therefore, the solution of the equation $- 9 x - 12 = 8 - 4 x$ is $x = - 4$

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Write the verbal sentence as an equation. Then solve the equation.
Twelve less than -9 times a number is equal to 8 minus 4 times the number.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Write the verbal sentence as an equation. Then solve the equation.Twelve less than -9 times a number is equal to 8 minus 4 times the number.

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Write the verbal sentence as an equation. Then solve the equation.
Twelve less than -9 times a number is equal to 8 minus 4 times the number.