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Chapter 8: Q. 304 (page 982)

In the following exercises, solve.

56+3b=13

Short Answer

Expert verified

The solution of the equation56+3b=13is

x=-6

Step by step solution

01

Step 1. Given information

The given equation is

56+3b=13

02

Step 2. Solution of equation

In the equation, the term 3bis undefined if b=0

so role="math" localid="1647782581521" 56+3b=13,b鈮�0

the least common denominator of all denominators in the equation is 6b

multiply both sides of the equation by the least common denominator 6b

6b56+3b=6b136b56+6b3b=6b35b+18=2b3b=-18b=-6

So the solution of the equation isb=-6

03

Step 3. Verification

Substitute x=2in the equation

56+3b=1356+3-6=?135-36=?1326=?1313=13

The left-hand side is equal to the right hand side so solution is correct.

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