Question

Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​

Answer 1

No, I do not agree with Andre because the two equations 10x + 6 and 5x + 11 are indeed equivalent.

Step-by-step explanation:

No, I do not agree with Andre. Two equations are considered equivalent if they have the same solution for all values of x.

Let's check if 10x + 6 and 5x + 11 are equivalent by substituting x = 1 into both equations:

For 10x + 6: 10(1) + 6 = 10 + 6 = 16

For 5x + 11: 5(1) + 11 = 5 + 11 = 16

We can see that both equations indeed equal 16 when x is 1, so Andre is correct in this case. 10x + 6 and 5x + 11 are equivalent equations.

Answer 2

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

`10x + 6 = 5x + 11`

`10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1`

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.