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Chapter 2: Q. 280 (page 252)

In the following exercise, solve each linear equation.

45鈭�84c鈭�3=121鈭�13c鈭�8

Short Answer

Expert verified

The solution of the equation45鈭�84c鈭�3=121鈭�13c鈭�8isc=-4.

Step by step solution

01

Step 1. Given information

The given equation is 45鈭�84c鈭�3=121鈭�13c鈭�8.

We have to solve the given equation.

02

Step 2. Solving the given equation

Now,鈬�45鈭�84c鈭�3=121鈭�13c鈭�8鈬�45鈭�32c+24=12鈭�156c鈭�8UsetheDistributiveProperty鈬�20鈭�128c+96=4鈭�156c鈬�116鈭�128c=4鈭�156cSimplify鈬�116鈭�128c+156c=4鈭�156c+156cAdd156cfromboththesidestoremovevariablefromright鈬�116+28c=4鈬�116+28c鈭�116=4鈭�116Subtract116fromboththesides鈬�28c=鈭�112鈬�28c28=鈭�11228Divideboththesidesby28鈬�c=鈭�4

Hence,

The solution isc=-4.

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Most popular questions from this chapter

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
z+0.52=鈭�8.5

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.

y+39=鈭�83

Solve鈭�g=3.

In the following exercises, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

7p=63

Translate and solve: The quotient of q and 鈭�8 is 72.
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