Question

Determine whether the following system of linear equations has a unique solution or no solution or infinitely many solutions 4 x - 5 y = 3 , 8 x - 10 y = 6 *
Type your answer .Write all necessary steps. Marks will be given step wise.
2 points

Answer 1

Answer:

Infinity many solutions.

Step-by-step explanation:

4x-5y=3 ; 8x-10y =6

a1=4. a2=8

b1=(-5) b2=(-10)

c1=3. c2= 6

now,

a1/a2 = b1/b2 = c1/c2

4/8 = (-5)/(-10) = 3/6

1/2 = 1/2 = 1/2

•°• a1/a2 = b1/b2 = c1/c2

Hence, the given pair of equations have infinity many solutions.

hope this will help you.