Question

Q15. Find the value of m for which the pair of linear equations 2x + 3y = 7 and
(m - 1 x + (m + 1) y = (3 m - 1 has unique solutions.​

Answer 1

so we know if linear equation

ax+by+c=0

a1/a2=b1/b2=c1/c2

so here 2x+3y=7

so, 2x+3y-7=0

and

(m - 1) x + (m + 1) y = (3 m - 1)

2/(m - 1 ) = 3/ (m + 1) =7/ (3 m - 1)

after solving we get m=5.

THANK YOU