Question

Which ordered pair is a solution of the equation y-4=7(x-6)

Only (5,4)
Only (6,5)
Both
Neither

Answer 1

Neither

Explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out. Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Answer 2

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither