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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 2: Q22. (page 86)

Solve each equation. Check your solution.
$- 4 a = 48$

Short Answer

Expert verified

The required solution is $a = - 12$ .

Step by step solution

01

Step 1. Write the given information.

The given equation is:

$- 4 a = 48$

02

Step 2. Calculation.

Consider the given equation

$\begin{array}{l} - 4 a = 48 \\ a = - \frac{48}{4} [Dividebothsidesby4] \\ a = - 12 \end{array}$

03

Step 3. Checking solution.

Substitute $a = - 12$ in the given equation to check:

$- 4 a = 48 - 4 (- 12) = 48 48 = 48$

Hence, proved.

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Most popular questions from this chapter

Compare and contrast solving equations with variables on both sides of the equation to solving one-step or multi-step equations with a variable on one side of the equation.

Solve each equation. Check your solution.

$2 a - 6 = 4$

Twelve decreased by twice a number equals $- 34$ . Write an equation for this situation and then find the number.

Write an equation and solve each problem. Find three consecutive integers with a sum of $- 36$ .

Solve each equation. Check your solution.

$- 3 = 2 + \frac{a}{11}$

See all solutions

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