Question

Show that the following system has no solution:

y = 4x - 3
2y - 8x = -8

Answer 1

Please see the explanation for why the system has no solution.

Explanation:

y = 4x - 3

2y - 8x = -8

We put in 4x - 3 for the y

2(4x - 3) - 8x = -8

8x - 6 - 8x = -8

-6 = -8

This is not true; -6 ≠ -8. So this system has no solution.