Question

Which ordered pair is a solution of the equation?

4x -1 = 3y + 5
(2,3)
(3,2)
(1,1)
(9,10)

Answer 1

(3, 2)

(9, 10)

Explanation:

Ordered pairs (3, 2) and (9, 10) is the solution of the equation 4x -1 = 3y + 5

• 4x -1 = 3y + 5 (given)

• Lets us check for (3, 2)

• L.H.S. = 4x - 1 = 4(3) - 1 = 12 - 1 = 11 (plug x = 3)

• R.H.S. = 3y + 5 = 3(2) + 5 = 6 + 5 = 11 (plug y = 2)

• -> L.H.S. = R.H.S.

• -> Ordered pair (3, 2) is a solution of the given equation.

• Similarly, ordered pair (9, 10) is also a solution of the given equation because L.H.S and R. H.S. are equal to 35 on plugging x = 9 and y = 10.

Answer 2

(3,2)

4(3)-1=11

3(2)+5=11