Question

Which ordered pair is a solution for this equation y-4=7(x-6) only (5,4) only (6,5) both or neither

Answer 1

Option d : NEITHER

(5, 4) and (6, 5) is not a solution to given equation

Solution:

Given equation is y - 4 = 7(x - 6)

To find: ordered pair

Which means we have to find (x, y) which satisfies the given equation

Let us check the given options and find out which satisfies the given equation

Option 1: (5, 4)

Substitute x = 5 and y = 4 in given equation

4 - 4 = 7(5 - 6)

0 = 7(-1)

`0 \\eq -7`

So this option doesnt satisfies the given equation. Thus (5, 4) is not a solution to given equation

Option 2 : (6, 5)

Substitute x = 6 and y = 5 in given equation

5 - 4 = 7(6 - 6)

`1 \\eq 0`

So this option doesnt satisfies the given equation. Thus (6, 5) is not a solution to given equation

Thus we can both (5, 4) and (6, 5) is not a solution to given equation