Understand System Solutions as Intersections Practice Test

Consider the system of equations:

$$\begin{cases}

y=3x-4 \

y=-x+8

\end{cases}$$

Which ordered pair is the solution (the point where the two lines intersect)?

A student says the point $(4,3)$ is the solution to this system because it is on one of the lines:

$$\begin{cases}

y=\tfrac{1}{2}x+1 \

y=-x+7

\end{cases}$$

Is $(4,3)$ a solution to the system (does it satisfy both equations)?