Question

Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?

Answer 1

5(3x - 6) is equivalent to 15x - 30

Explanation:

Jade wants to verify that the expression
`5(3x - 6)` is equivalent to
`15x - 30`. She substitutes 2 into each expression and evaluates each one.

To verify the expression lets substitute in 2 for x

`5(3x - 6)=5(3(2)-6)=5(6-6)=0`

We do the same with equivalent expression

`15x - 30=15(2)-30=30-30=0`

When we substitute 2 for x we got 0 for both expressions

So 5(3x - 6) is equivalent to 15x - 30