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Chapter 2: Q. 360 (page 264)

In the following exercise, solve each equation with decimal coefficients.

0.23x+1.47=0.37x鈭�1.05

Short Answer

Expert verified

Thesolutionforthegivenequationisx=3

Step by step solution

01

Step 1. Given information 

The givne equation is0.23x+1.47=0.37x鈭�1.05

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.23x+1.47=0.37x鈭�1.05MultiplywiththeLCD,100鈬�100脳(0.23x+1.47)=100脳(0.37x鈭�1.05)鈬�100脳(0.23x)+100脳(1.47)=100脳(0.37x)鈭�100脳(1.05)(Distribute)鈬�23x+147=37x鈭�105(Simplify)鈬�23x鈭�23x+147=37x鈭�23x鈭�105(Subtract23xfrombothsides)鈬�147=14x鈭�105(Simplify)鈬�147+105=14x鈭�105+105(Add105tobothsides)鈬�42=14x(Simplify)鈬�4214=1414x(Dividebothsidesby14)鈬�3=xThesolutionforthegivenequationisx=3

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