Question

Explain how to determine if the two expressions are

equivalent using x = 6 and x = 2.
2x + 4-1
3 + x + x

Answer 1

hope this helps

Explanation:

If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 15. Now, substitute 2 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 7. Therefore, the expressions are equivalent.

Answer 2

Answer: 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.

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.

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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.

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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.