Question

How many solutions does this system have?

5 x minus y = 3. 2 y = 10 x + 2.
one
two
an infinite number
no solution

Answer 1

no solution

Explanation:

Answer 2

The given linear equation has infinite many solutions .

Explanation:

Given two linear equation as :

5 x - y = 3 ........A

2 y = 10 x + 2

Or, 2 y - 10 x = 2 ........B

Now, Solving these two equation we get

(2 y - 10 x) + 2 × (5 x - y) = 2 + 2 × 3

Or, (2 y - 10 x) + (10 x - 2 y) = 2 + 6

Or, (2 y - 2 y) + (- 10 x + 10 x) = 8

Or, 0 + 0 = 8

Or, 0 = 8

Now, ∵ 0 ≠ 8 , so The equation has infinite many solutions

Hence, The given linear equation has infinite many solutions . Answer