1. Solve an equation by multiplying by a reciprocal
EXAMPLE 5
Solve an equation by multiplying by a reciprocal
x = 4. 2 7 –
Solve
SOLUTION 7 2 –
The coefficient of x is . 7 2 –
The reciprocal of is
x = 4 2 7 –
Write original equation. ( )
x ) = 2 7 – 4 2
Multiply each side by the 7 –
reciprocal, .

2. Solve an equation by multiplying by a reciprocal
EXAMPLE 5
Solve an equation by multiplying by a reciprocal
x = –14
Simplify.
ANSWER
The solution is –14. Check by substituting –14 for x in the original equation.
x = 4 2 7 –
CHECK
Write original equation.
(–14) = 4 ? 2 7 –
Substitute –14 for x.
4 = 4
Simplify. Solution checks.

3. GUIDED PRACTICE
for Example 5
Solve the equation. Check your Solution.
w = 10 5 6
13.
ANSWER 12

4. GUIDED PRACTICE
for Example 5
Solve the equation. Check your Solution.
p = 14 2 3
14.
ANSWER 21

5. GUIDED PRACTICE
for Example 5
Solve the equation. Check your Solution.
15.
9 = –3 4 m
ANSWER
–12

6. GUIDED PRACTICE
for Example 5
Solve the equation. Check your Solution.
16.
–8 = –4 5 v
ANSWER 10