Question

Plug a few points into these two equations to show that the system of equations has more than one solution: y=5x-4, y=3x+1

Answer 1

Let's plug in the points (1,1) and (2,6) into the system of equations.

For the point (1,1):
y = 5x - 4
1 = 5(1) - 4
1 = 5 - 4
1 = 1

y = 3x + 1
1 = 3(1) + 1
1 = 3 + 1
1 = 4

This point does not satisfy both equations.

For the point (2,6):
y = 5x - 4
6 = 5(2) - 4
6 = 10 - 4
6 = 6

y = 3x + 1
6 = 3(2) + 1
6 = 6 + 1
6 = 7

This point also does not satisfy both equations.

Therefore, the system of equations y = 5x - 4 and y = 3x + 1 has more than one solution.