Question

Does the following system have a unique solution? Why? 4x+10y=57 2x+5y=38

Answer 1

No

Explanation:

4x+10y=57 (1)

2x+5y=38 (2)

(1)*1; (2) * (-2), you have

4x+10y =57 (1)

-4x-10y =-76 (2)

(1)+(2), you have:

0= -=19 (wrong)

The equations do not have the solution .

The system does not have a unique solution.