Question

1.For which values of a and b does the following pair of linear equations have an
infinite number of solutions?
2x + 3y = 7
Na - b) x + (a + b) y = 3a + b - 2

2.For which value of k will the following pair of linear equations have no solution?
3x + y = 1
(2k-1)x+ (k – 1) y = 2k + 1
​

Answer 1

Answer:

a)In case of infinite solution 2/(a-b) = 3/(a+b) = 7/(3a+b-2)

b)For no solution

3/(2k-1) =1/(K-1) but not equals to 1/(2k+1)

Step-by-step explanation:

a)2a+2b= 3a-3b

a=5b ----(1)

Now 7a+7b= 9a+3b-6

12b=48b-6 [using 1]

36b=6

b=1/6

a=5×1/6=5/6

b) 3k-3=2k-1

k=2