Question

Determine the nature of the solution using the slope intercept method and also prove it graphically
4x-2y=20
-2x+y=15

Answer 1

Answer:

Step-by-step explanation:

y = mx + b is slope intercept form. Lets solve both equation for "y"

4x - 2y = 20

2x - y = 10

- y = - 2x + 10

y = 2x - 10 .... (1)

- 2x + y = 15

y = 2x + 15 ..... (2)

Both equations have the same slope "2" and different y-intercepts "- 10" and "15", that mean, lines are parallel and system has no solutions.