Question

If
x = 3 & y = 3
are pair of linear equations, find the number of solutions.

Answer 1

Answer:

x=2,y=3

2x+3y−13=0

Then,satisfytheequationwithvaluesofxandy

Putx=2and=3inequation

2×2+3×3−13

4+9−13

13−13=0

So,x=2,y=3issolutionof2x+3y−13=0.

Answer 2

x=3,y=−4 are the solutions of pair of linear equations ax+by=4 and bx+ay=3,

⇒3a−4b=4 and 3b−4a=3

⇒3a=4+4b

⇒a=34+4b

⇒3b−4a=3

⇒3b−4(34+4b)=3

⇒9b−16−16b=3

⇒−7b=3+16

⇒b=7−19

⇒3b−4a=3

⇒3×7−19−4a=3