bell quiz. objectives solve for one variable in equations with multiple variables

Bell Quiz

Objectives

• Solve for one variable in equations with multiple variables.

Solving Literal Equations

• Recall when solving an equation with one variable:– Inverse operations are used to isolate the

variable as shown below.

Solving Literal Equations

• A Literal Equation is an equation with more than one variable.

• As in an equation with one variable,– Use inverse operations and properties of

equalities to solve for a specific variable in a literal equation.

• The solution for the specific variable will be in the terms of the other variables and numbers.

Example 1Solving for a Variable

Solve for y.

2x + 3y = 10

Lesson Practice

Solve for n.

3m + 2n = 8

Solving Literal Equations

• If the variable being solved for is on both sides of the equation, the first step is to:– Eliminate the variable on one side or the

other.

Example 2Solving with Variables on Both Sides

Solve

8x + 20 = 30 + 6x

Example 3Solving for Variables on Both Sides

Solve for p

4p + 2a – 5 = 6a + p

Lesson Practice

Solve for x

3x + 2y = 8 + x

Solving Literal Equations

• A formula is a type of literal equation.

• Use inverse operations to isolate any variable in the formula.

Example 4 Solving a Formula for a Variable

C = 59 (F – 32)

Example 5 Application: Geometry

Lesson Practice

The Ramirez family is taking a trip to the coast. They live 270 miles from the coast. They want to make the trip in 4 ½ hours. Use the distance formula d = rt to determine the average speed the family needs to drive.

Lesson Practice

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Lesson Practice