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Bell Quiz
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Objectives Solve for one variable in equations with multiple variables.
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Solving Literal Equations
Recall when solving an equation with one variable: Inverse operations are used to isolate the variable as shown below.
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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.
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Example 1 Solving for a Variable
Solve for y. 2x + 3y = 10
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Lesson Practice Solve for n. 3m + 2n = 8
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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.
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Example 2 Solving with Variables on Both Sides
Solve 8x + 20 = x
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Example 3 Solving for Variables on Both Sides
Solve for p 4p + 2a – 5 = 6a + p
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Lesson Practice Solve for x 3x + 2y = 8 + x
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Solving Literal Equations
A formula is a type of literal equation. Use inverse operations to isolate any variable in the formula.
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Example 4 Solving a Formula for a Variable
C = 5 (F – 32) 9
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Example 5 Application: Geometry
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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.
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Lesson Practice .
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Lesson Practice
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