Question

Linda graphed a system of equations and found that it had no solution. Which could be the system of equations that Linda graphed? A: 3y = 2x + 4 y = 3/2xB: y = 2/3x + 1 3y = 2x + 3C: 2x + y = 4 y = -2x - 1D: y = 1/2x + 3 y = 1/3x + 3

Answer 1

The equations that has no solution is

$\begin{gathered} 2x+y=4 \\ y=-2x-1 \\ 2x+y=4 \\ 2x+y=-1 \\ 2x-2x=0 \\ y-y=0 \\ 4-(-1)=5 \\ \\ \text{Therefore, the equation} \\ 2x+y=4 \\ y=-2x-1 \\ \text{has no solution} \end{gathered}$