Question

May u please help me with Geometry. The last one question.

Answer 1

`\begin{gathered} \text{Statement }\rightarrow\text{ Reason} \\ 7(x-1)=2(3x-2)\text{ }\rightarrow Given \end{gathered}`
`7x-7=6x-4\text{ }\rightarrow\text{ Distributive property}`

Beacuse to both sides of the equation you distribute the number that is outside the parentheses when making the product.

Then, you operate on both sides of the equation -7x, that is, you use the additive inverse of 7x

`\begin{gathered} 7x-7-7x=6x-4-7x \\ -7=-1x-4\text{ }\rightarrow\text{ additive inverse property} \\ \end{gathered}`

Then, you operate on both sides of the equation 4, that is, you use the add inverse of -4

`\begin{gathered} -7=-1x-4 \\ -7+4=-1x-4+4 \\ -3=-1x\text{ }\rightarrow\text{ additive inverse property} \end{gathered}`

Finally,

`\begin{gathered} -3=-1x \\ (-3)/(-1)=x\text{ }\rightarrow\text{ Division property} \\ 3=x\text{ }\rightarrow\text{ Reflexive property} \end{gathered}`