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EXAMPLE
Multiply Each Side of an Equation
2
x
Solve 30.
5
Solution
The operation is division. Use the inverse operation of multiplication to isolate
the variable x.
x
30
5
Write original equation.
冉 5x 冊
5 5(30)
Multiply each side by 5 to undo the division.
x 150
ANSWER Simplify.
The solution is 150.
Solve an Equation
Solve the equation. Check your solution in the original equation.
r
2. 11
3
1. 60 5x
RECIPROCAL
n
3. 2
4
4. 3x 9
To solve an equation with a fractional coefficient, such as
2
3
10 m, multiply each side of the equation by the reciprocal of the fraction.
This will isolate the variable because the product of a nonzero number and its
reciprocal is 1.
Student Help
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INT
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are available at
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EXAMPLE
Multiply Each Side by a Reciprocal
3
2
Solve 10 m.
3
Solution
2
3
2
3
3
2
The fractional coefficient is . The reciprocal of is .
2
3
10 m
3 冉
3
Write original equation.
2
3
冊
(10) m
15 m
ANSWER 3
2
Multiply each side by the reciprocal, .
Simplify.
The solution is 15.
Multiply Each Side by a Reciprocal
Solve the equation. Check your solution in the original equation.
3
5. 6 x
4
4
6. 12 y
5
3.2
3
7. x 24
5
2
8. 6 m
7
Solving Equations Using Multiplication and Division
139
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