Question

How many solutions do the pair of
linear equation 2x+ 3y= 9 & 3x + 6y= 15 have?​

Answer 1

let

2x+ 3y= 9 ----------( 1 )

3x + 6y= 15 ------ ( 2 )

On comparing 1 with a1x + b1y = c1

On comparing 2 with a2x + b2y = c2

we have,

a1 = 2 , b1 = 3 , c1 = 9

a2 = 3 , b2 = 6 , c2 = 15

now,

2/3 is not equal to 3/6

I.e.

a1 / a2 is not equal to b1 / b2

Therefore,

This system of equation has unique solution.

Intersecting lines.