Question

5. Solve the system of equations by graphing. y = -x + 2 3x + 3y = 6

Answer 1

Answer:

The system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

Explanation:

Given the system of equations;

$\begin{gathered} y=-x+2 \\ 3x+3y=6 \end{gathered}$

Plotting the two equations using a graph calculator we have;

From the graph, we can observe that the line of the two equations fall on each other.

That means that the equations are the same.

Therefore, the system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.