218k views
5 votes
Choose both the multiple of 10 that can be used to remove the decimals and the equation and the value of y

Choose both the multiple of 10 that can be used to remove the decimals and the equation-example-1
User Jtomasrl
by
8.3k points

1 Answer

4 votes

1.2y+6.5+(-3.25y)=0.14-4.29+(-2y)

The multiple of 10 that can be used to multiply the equation is 100, because of the figures in their hundredth,

Multiplying the equation by 100,


\begin{gathered} \text{Multiply both sides by 100} \\ 100(1.2y+6.5+(-3.25y))=100(0.14-4.29+(-2y)) \\ \end{gathered}

Open the brackets,


120y+650+(-325y)=14-429+(-200y)_{}

Collect like terms,


\begin{gathered} 120y+650-325y=14-429-200y \\ 650-14+429=325y-120y-200y \\ 1065=15y \\ \text{Divide both sides by 15} \\ (1065)/(15)=(15y)/(15) \\ 71=y \\ y=71 \end{gathered}

Hence, the multiple of 10 that can remove all the decimals is 100 and the best option is B.

User Quixotic
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories