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Chapter 2: Q. 2.1 (page 204)

Isy=43asolutionof9y+2=6y+3?

Short Answer

Expert verified

The given value y=43is not the solution for the given equation.

Step by step solution

01

Step 1. Given information

The given equation is 9y+2=6y+3

We have to determine the given valuey=43 is the solution of the given equation.

02

Step 2. Explanation

Sinceasolutiontoanequationisavalueofthevariablethatmakestheequationtrue,Beginbysubstitutingthevalueofthesolutionforthevariable.Substitutey=43fory鈬�9y+2=6y+3鈬�9(43)+2=6(43)+3Multiply鈬�3(4)+2=24+3鈬�12+2=8+3Add鈬�14=11Sincey=43resultsinafalseequation.鈬�43isnotasolutiontothegivenequation.

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