Question

Choose both the multiple of 10 that can be used to remove the decimals and the equation and the value of y

Answer 1

`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.