Question

Which ordered pair is the solution?

7x-5=4y-6


a: (2,4)

b: (3,6)

c: both (2,4) and (3,6)

d: neither

Answer 1

Option d.

Explanation:

The given equation is

`7x-5=4y-6`

We need check which ordered pair is the solution.

Substitute x=2 and y=4 in the above equation.

`7(2)-5=4(4)-6`

`14-5=16-6`

`9=10`

It is a false statement because
`9\\eq 10`.

So, (2,4) is not a solution of given equation.

Substitute x=3 and y=6 in the above equation.

`7(3)-5=4(6)-6`

`21-5=24-6`

`16=18`

It is a false statement because
`16\\eq 18`.

So, (3,6) is not a solution of given equation.

Therefore, option d is correct.

Answer 2

d) neither

Explanation:

Given equation is 7x - 5 = 4y -6 ...…...... (1)

Substitute x = 2 and y= 4 in equation (1)

7(2) -5 = 4(4) -6

9 ≠ 10

a) is not satisfied

Substitute x = 3 and y= 6 in equation (1)

7(3) -5 = 4(6) -6

16 ≠ 18

b) is not satisfied

c) is also not satisfied

Final answer:- neither