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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Literal Equations

By the end of this section, you should be able to solve the following problems.

1. Solve for the indicated variable.

5y − 3x = −2 for x

2. Solve for the given variable. 3. Solve for the indicated variable. ## 2 Concepts

In previous sections, you studied how to solve an equation for a particular
number. In this section we use the exact same reasoning to solve for a
particular letter. Below is an example.

2.1 Example

Solve the following equation for x1. We don’t like negative signs in our denominators, so change the denominator
to a positive and change all the signs in the numerator to get. In our next example we also solve for a single letter.

2.2 Example

Solve the following equation for x.

Tx + by = r Our next example is the familiar perimeter equation.

2.3 Example

Solve for l in the following equation. When dividing both sides by a letter or number, make sure to divide
the entire expression on both sides by that letter or number. For example,
when solving for R in the expression below we divide the entire
expression on both sides by h ## 3 Exercises

1. Solve for the indicated variable.

5y − 3x = −2 ; for x

2. Solve for C. 3. Solve for the indicated variable. ## 4 Solutions

1. Solve for the indicated variable. 2. Solve for C. 3. Solve for the indicated variable.  