Question

Find the value of a for which the following system of linear equations has an infinite number of solutions: x+(a+1)y=4, (+1)x+9y= (5a +2)​

Answer 1

Answer:

Value of a is 8 and 2/5

Step-by-step explanation:

For infinite number of solutions,

a1 / a2 = b1 / b2 = c1 / c2

Here,

a1 =1 b1 = a+1 c1 = 4

a2 = 1 b2 = 9 c2 = 5a+2

So,

1 / 1 = a+1 / 9 = 4 / 5a+2

Therefore,

1 = a+1 /9 and 4 / 5a+ 2 = 1

a+1 = 9 and 5a+ 2 = 4

a = 8 and a = 2 /5

Hence, the value of a is 8 and 2/5.