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Chapter 3: Q. 12 (page 122)

Solve the equation. Check your solution.

h9-19=-10

Short Answer

Expert verified

The solution for the equation h9-19=-10 is h=81.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

h9鈭�19=鈭�10h9=鈭�10+19h9=9

02

. Solve for h

Now, multiply both sides of the equation by 9.

h9脳9=9脳9h=9脳9h=81

Therefore, the solution of the equation is h=81.

h9脳9=9脳9h=9脳9h=81

03

.  Check the solution 

To check the solution, write the original equation and substitute the value ofh.

h9-19=-10

Now, substitute h=81and check the result.

819鈭�19=鈭�109鈭�19=鈭�10鈭�10=鈭�10

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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Most popular questions from this chapter

Question: Cell Phones

Your cell phone provider charges a monthly fee of \(19.50 for 200 minutes. You are also charged \).25 per minute for each minute over 200 minutes. Last, you bill was $29.50.

a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.

b. Solve the equation you wrote in part a.

c. How many additional minutes did you use last month?

Solve the equation. Check your solution.

-5k-19=5-13k

Identify the like terms you would combine to solve the following equation:鈭�3x+5鈭�2x+8=12

Explain how the graph of x>5 is different from the graph of x鈮�5.

Solve the inequality. Graph your solution.

n6>7
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