Question

For what value of a the following pair of linear
equation has infinitely many solutions?
2x + ay = 8
ax + 8y = a
​

Answer 1

Step-by-step explanation:

Since , this pair of equations has infinitely many solution

→ 2/a = a/8= 8/a

From, 2/a = a/8

we get , a^2 = 16

→a = 4 or -4

From , a/8= 8/a we get. a = 8 or -8

Thus , possible values of a are

4 or -4 or 8 or -8

Answer 2

Hi dear ❤️. For infinitely many solutions. a1/a2 = b1/b2 but not equal to c1/c2. Then 2/a= a/8.

a^2=16.

a=+ 4,-4