(1,1) , (1,7) Plug a few points into the original equations and check to show that the system of

Question

equations has no solution. Explain your work

Answer 1

Given equations:
1) 2x - y = 3
2) x + 3y = 10

Plugging in the point (1,1) into both equations:
1) 2(1) - 1 = 3
2 - 1 = 3, which is not true

Plugging in the point (1,7) into both equations:
1) 2(1) - 7 = 3
2 - 7 = 3, which is also not true

Since neither of the points satisfy both equations simultaneously, it can be concluded that the system of equations has no solution.