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

The expression 5(3x – 6) is equivalent to 15x – 30.

Substitution with x=2 Proof they are equivalent
5[(3×2)-6] (15×2)-30
5[6 -30] 30-30=0
30-30=0

Answer 2

Answer:

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

Step-by-step 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