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Chapter 2: Q. 359 (page 264)

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

0.7x+0.4=0.6x+2.4

Short Answer

Expert verified

Thesolutionforthegivenequationisx=20

Step by step solution

01

Step 1. Given information

The given equation is0.7x+0.4=0.6x+2.4

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.7x+0.4=0.6x+2.4鈬�10脳(0.7x+0.4)=10脳(0.6x+2.4)(MultiplybothsideswiththeLCD,10)鈬�10脳(0.7x)+10脳(0.4)=10脳(0.6x)+10脳(2.4)(Distribute)鈬�7x+4=6x+24(Multiply)鈬�7x鈭�6x+4=6x鈭�6x+24(Subtract6xfrombothsides)鈬�x+4=24(Simplify)鈬�x+4鈭�4=24鈭�4(Subtract4frombothsides)鈬�x=20(Simplify)

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