Question

If (2, 3) is a solution of a pair of linear equations 2x - 3y + a = 0 and 2x + 3y – b

= 0, then _______.


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Answer 1

Answer:

2x-3y-5=0

2x+3y-13=0

Step-by-step explanation:

(x,y)=(2,3)

2x - 3y + a = 0

Apply the value of x and y in the above equation

2(2)-3(3)+a=0

4-9+a=0

5+a=0

a=-5

2x-3y-5=0

2x + 3y – b=0

2(2)+3(3)-b=0

4+9-b=0

13-b=0

b=13

2x+3y-13=0

Answer 2

Step-by-step explanation:

(x,y) = (2,3)

Putting x and y value in 2x - 3y + a = 0.

⇒ 2(2) - 3(3) + a = 0

⇒ a - 5 = 0

⇒ a = 5

and,

Putting x and y value in 2x + 3y - b = 0

⇒ 2(2) + 3(3) - b = 0

⇒ 4 + 9 - b = 0

⇒ b = 13