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Chapter 3: Problem 47

Solve the equation. $$-18=-9 a$$

Short Answer

Expert verified
a = 2

Step by step solution

01

Understand the Equation

The given equation is \(-18 = -9a\). It is a linear equation, which means it can be solved for the variable by isolating \(a\).
02

Isolate the Variable

To isolate \(a\), divide both sides of the equation by \(-9\). This step will help us find the value of \(a\). The equation becomes: \(\frac{-18}{-9} = \frac{-9a}{-9}\).
03

Simplify

Simplify the left-hand side: \ \(-18 \div -9 = 2\) \/. Therefore, the equation simplifies to: \(2 = a\).
04

Final Answer

So, \(a\) is equal to 2: \(a = 2\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolating Variables
Isolating the variable is one of the key steps in solving linear equations. In our original equation, \(-18 = -9a\), we need to solve for the variable \(a\). To do this, we apply operations to both sides of the equation in a way that keeps the equation balanced. Here, the strategy is to get \(a\) on one side of the equation by itself.

To isolate \(a\), we divided both sides by \(-9\), which is the coefficient of \(a\). This step simplifies the equation making it possible to find the exact value of \(a\). Think of isolating the variable as \

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