Question

-x + y = 8

1/2x - 1/2y = 3

Do these equations have one solution, no solution, or infinitely many solutions?

Answer 1

No solution

Explanation:

-x + y = 8..............(1)

1/2x - 1/2y = 3......(2)

Multiply (2) by 2

x - y = 6 ............(3)

Adding (1) and (3)

-x + x + y - y = 8 + 3

x and y are both eliminated so no solution