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Chapter 8: Q. 309 (page 982)

In the following exercises, solve.

79+1x=23

Short Answer

Expert verified

The solution of the equation 79+1x=23is

x=-9

Step by step solution

01

Step 1. Given information

The given equation is

79+1x=23

02

Step 2. Solution of equation 

In the equation, the term 1xis undefined forx=0

sorole="math" localid="1647785380034" 79+1x=23,x鈮�0

the least common denominator of all denominators in the equation is9x

multiply both sides of the equation by the least common denominator9x

9x79+1x=9x239x79+9x1x=9x237x+9=6xx=-9

So the solution of the equation isx=-9

03

Step 3. Verification 

Substitute x=-9in the equation

79+1x=2379+1-9=?2379-19=?2369=?2323=23

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

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