Explain how to determine if the two expressions are equivalent using x = 6 and x = 2.
2x + 4-1
3 + x + x

Plug in x=6 and x=2. If you get the same answers for x=6 and x=2, we know that the equations are equal.

Step-by-step explanation:

To determine if the two equations are equivalent, we can plug in x=6 and x=2 to both equations and see if you get the same result.

2x+4-1            [plug in x=6]

2(6)+4-1         [multiply]

12+4-1            [add and subtract]

15

For x=6, we get 15 for 2x + 4-1.

3+x+x            [plug in x=6]

3+6+6           [add]

15

Since we plugged in x=6 for both equations and got 15 for both answers, we know that the two equations are equivalent.

Let's plug in x=2 to make sure we are correct.

2x+4-1            [plug in x=2]

2(2)+4-1         [multiply]

4+4-1            [add and subtract]

7

For x=2, we get 7 for 2x + 4-1.

3+x+x            [plug in x=2]

3+2+2           [add]

7

Since we plugged in x=2 for both equations and got 7 for both answers, we know that the two equations are equivalent.

With the confirmation of plugging in both x=6 and x=2, and getting the same answers, we know that the two equations are equivalent.

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