y=-2x+3 (2,-1), y-4x+1=0 (1,5) Plug a few points into the original equations and check to show that each equation
has one solution. Explain your work
1. For the first equation y = -2x + 3:
When x = 2, y = -2(2) + 3 = -4 + 3 = -1
So the point (2,-1) satisfies the equation y = -2x + 3.
Therefore, this equation has one solution.
2. For the second equation y - 4x + 1 = 0:
When x = 1, y = 4(1) - 1 = 4 - 1 = 3
So the point (1,3) does not satisfy the equation y - 4x + 1 = 0.
Therefore, this equation does not have one solution.
It is important to note that for an equation to have one solution, it should pass through only one point on the coordinate plane. The points (2,-1) and (1,5) were used to analyze the equations.