Question

The system of equations below shows the distance in ,y, two trains travel in time ,x. What conclusion can you make about the system of equations? Interpret your result in context of the problem y= 1.6x +4 7y = 11.2x + 28

Answer 1

The system of equations is inconsistent because there's no solution.

Explanation:

7y = 11.2x + 28 is a multiple of y = 1.6x + 4. Thus we have the same equation at the end.

Multiply y = 1.6x + 4 by 7.

7y = 11.2x + 28... Equation 1

7y = 11.2x + 28... Equation 2

Subtract equation 2 from 1.

7y - 7y = 11.2x - 11.2x + 28 - 28

0 = 0 + 0. There's no solution for x and y.