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Chapter 3: Q. 41 (page 122)

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

c+12=23

Short Answer

Expert verified

The solution for the equation c+12=23 is c=11.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

c+12=23鈥嬧赌�[鈥嬧赌媁riteoriginalequation.鈥嬧赌�]鈥嬧赌�c+12鈭�12=23鈭�12鈥嬧赌�[鈥嬧赌婼ubtract12fromeachside.鈥嬧赌�]鈥嬧赌�

02

.  Simplify both sides

Simplify the equation on both sides to solve it.

c=23鈭�12c=11

Therefore, the solution of the equation is c=11.

03

.  Check the solution 

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

c+12=23

Now, substitute c=11and check the result.

c+12=23鈥嬧赌�[鈥嬧赌媁riteoriginalequation.鈥嬧赌�]鈥嬧赌�11+12=23鈥嬧赌�[鈥嬧赌婼ubstitute11forc.鈥嬧赌�]鈥嬧赌�23=23

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

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