Q. 42

# Find the value of

Since, the pair of linear equations has infinitely many solutions

2x + 3y – 7 = 0 ……(1)

(m – 1) x + (m + 1) y = 3m – 1

(m – 1) x + (m + 1) y – 3m + 1 = 0 ……(2)

From equation (1) and (2)

a1 = 2

b1 = 3

c1 = – 7

a2 = m – 1

b2 = m + 1

c2 = – 3m + 1

2 (m + 1) = 3 (m – 1)

2m + 2 = 3m – 3

3m – 2m = 2 + 3

m = 5

Therefore, value of m is 5.

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