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Chapter 2: Problem 93

In your own words, describe how to solve a linear equation.

Short Answer

Expert verified
The solution to a linear equation can be found by simplifying the equation, isolating the unknown, and evaluating the solution.

Step by step solution

01

Identify and Simplify the Equation

The first step is to identify the equation and simplify it if required. Cancel out any like terms on each side of the equation, and simplify any complex factors. This will make the equation easier to handle.
02

Isolate the Unknown

In order to solve for the unknown value, it needs to be isolated on one side of the equation. This can be done by moving all other terms to the opposite side. If the unknown is being multiplied by a coefficient, divide both sides of the equation by the coefficient to isolate it. If it's being added or subtracted, do the inverse operation.
03

Evaluate the Solution

Once the variable is isolated, you can evaluate the other side of the equation to find the solution. This is the final value of the unknown variable.

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The inequality \(-4 x<-20\) is equivalent to \(x>-5\)

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A rectangular swimming pool measures 14 feet by 30 feet. The pool is surrounded on all four sides by a path that is 3 feet wide. If the cost to resurface the path is \(\$ 2\) per square foot, what is the total cost of resurfacing the path?

Describe ways in which solving a linear inequality is different from solving a linear equation.

When graphing the solutions of an inequality, what is the difference between a parenthesis and a bracket?

When solving an inequality, when is it necessary to change the direction of the inequality symbol? Give an example.
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