Question

Show that the lines represented by linear pair of equations 2x + 3y = 1 and 5x + 6y = 2 are intersecting lines by comparing their Co-efficients.​

Answer 1

Answer:

the lines are intersecting

Step-by-step explanation:

given the pair of linear equations:

2x + 3y= 1 and 5x +6y = 2

let us write these equations in standard form

⇒ 2x + 3y - 1= 0 and 5x + 6y -2 =0

here, a1 = 2         a2 = 5

         b1 = 3         b2 = 6

a given pair of linear equations in the form a1x+ b1y+ c1 = 0 and

a2x+ b2y+ c2= 0, are said to be intersecting if a1/a2≠ b1/b2

here, $\frac{a1}{a2} = \frac{2}{5}$   and   $\frac{b1}{b2} = \frac{3}{6} = \frac{1}{2}$

2/5 ≠ 1/2

here a1/a2 ≠ b1/b2

Hence the lines are intersecting    

Answer 2

Answer:

Step-by-step explanation:show answer