Plug a few points into these two equations to show that the system of equations has no solution: y-4x+1=0, y=-2x+3

Answer 1

First equation: y - 4x + 1 = 0

Let x = 1:
y - 4(1) + 1 = 0
y - 4 + 1 = 0
y - 3 = 0
y = 3

Second equation: y = -2x + 3

Plug x = 1 into the second equation:
y = -2(1) + 3
y = -2 + 3
y = 1

Since we found y to be 3 from the first equation and 1 from the second equation when x = 1, there is no solution to this system of equations.