238 Equations and InequalitiesExample 1 Express each equation as another equivalent equation. Justify your answer.- 4 x + 8 = 2 x + 40 2. 9 x - 2 = 34 + 3 x 3. 6 x - 7 = 43 + x
Example 2 Solve each equation. Check your solution.- _x
3- 15 = 12 + x 5. _^1
4
x - 8 = 5 6. 11 + 4 x = 7 + 5 x
77 3 -^ x^ =^4 -^3 x^ 8. -^7 +^ x^ = -^8 -^ x^ 9. -x^ +^4 = -9.8 +^ x
- 15 = 12 + x 5. _^1
Example 3 10. RENTAL CARS Refer to the table.
Per Day Per Mile
Charge Charge
Rentals R Us $25 $0.45
EZ Rental $40 $0.25Write and solve an equation to find
the number of miles a rental car
must be driven in one day for
each company to cost the same.= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.Example 1 Express each equation as another equivalent equation. Justify your answer.- 6 x + 14 = 20 + 4 x 12. 15 x + 6 = 71 + 10 x 13. 6 x - 3 = 33 + 3 x
- 16 - 2 x = 2 x + 4 15. 4 x - 15 = 5 + 2 x 16. 4 x - 13 = 11 - 2 x
Example 2 Solve each equation. Check your solution.- 5 x + 1 = 7 x - 11 18. 5 x - 12 = 3 x - 2 19. 2 x - 27 = 45 - x
- 9 - 4 x = 2 x + 6 21. 18.6 - 2 x = 3 x - 2.4 22. 7.5 + x = 4.5 + 4 x
- 7 + x = _x
10
- 7 + x = _x
- 16 24. - 73 + 3 x = 15 + 11 x 25. - 1 - 5 x = 15 x - 6
- 3 x - 11 = 34 + 2 x 27. - 20 - 2 x = 2 x + 4 28. 143 + 2 x = - 10 x - 1
Example 3 2929 SHOPPING Manny bought car wash supplies for $48 and 3 buckets for
his car wash team. Jin did not buy any car wash supplies but bought
7 buckets. All the buckets cost the same amount, and they both spent the
same amount of money. Write and solve an equation to find the cost of
one bucket.- BABYSITTING Catie charges an initial amount of $5 for babysitting and then
$3 per hour. Jolisa does not charge an initial amount but charges $4 per
hour. Write and solve an equation to find how many hours each girl will
have to babysit to earn the same amount.
B 31. ALGEBRA Explain how the two given equations are equivalent.- 2 b - 11 = - 7 b + 14
- 25 = - 5 b
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