Question

6x - 2y = 5

3x - y = 10
Solve the system of equations.
no solution
(3.-1)
(2, 7/2)

Answer 1

The given system has NO SOLUTION.

Explanation:

Here, the given system of equation is:

6 x - 2 y = 5 .......... (1)

3 x - y = 10 .... (2)

Multiply equation 2 with (-2), we get:

3 x - y = 10 ( x -2)

⇒ - 6 x + 2 y = - 20

Now, ADD this to equation (1) , we get:

6 x - 2 y - 6 x + 2 y = 5 - 20

or, 0 = - 15

WHICH IS NOT POSSIBLE as 0 ≠ -15

Hence, the given system has NO SOLUTION.