Question

Alice complete the table below for the equation 5x – 2y = 8 Is she correct?Yes, Alice is correct. No, Alice is not correct.

Answer 1

Okay, here we have this:

Considering the provided function and table, we are going to identify whether the table is correct or not, so we obtain the following:

So first we will solve for y in the equation and then we will evaluate the values of x one by one in the table:

5x – 2y = 8

– 2y = 8 - 5x

y = (8 - 5x)/-2

Now, let's evaluate the value of x:

x=-2:

y = (8 - 5x)/-2

y = (8 - 5(-2))/-2

y = (8 +10)/-2

y = (18)/-2

y = -9

x=-1:

y = (8 - 5x)/-2

y = (8 - 5(-1))/-2

y = (8 +5)/-2

y = (13)/-2

y = -6.5

x=0:

y = (8 - 5x)/-2

y = (8 - 5(0))/-2

y = (8 +0)/-2

y = (8)/-2

y = -4

x=1:

y = (8 - 5x)/-2

y = (8 - 5(1))/-2

y = (8 -5)/-2

y = (3)/-2

y = -1.5

x=2:

y = (8 - 5x)/-2

y = (8 - 5(2))/-2

y = (8 -10)/-2

y = (-2)/-2

y = 1

Finally we obtain that since when evaluating all the values of the function the outputs are the same as those of the tables, then Alice is correct.