Question

find the value of a for which pair of linear equation ax+2y=2,8x+ay=4 have an infite number of solutions??​

Answer 1

Answer:

The value of a is 4.

Step-by-step explanation:

ax + 2y = 2

8x + ay = 4

For infinite solutions,

a1/a2 = b1/b2 = c1/c2

Therefore,

a/8 = 2/a = 2/4

a/8 = 2/4,  2/a = 2/4,  a/8 = 2/a

Thus,

a = 4, a = 4, a = 4,-4

Since for infinite solutions all equations should be satisfied simultaneously, therefore a = 4.