Question

Here is a system of equations.y=-3x+3y=-x-1Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many solutions.-6

Answer 1

From the given system, we can observe that the y intercepts of the equations are 3 and -1 respectively.

Also we can find the x intercepts by replacing y for 0 and solving for x:

`\begin{gathered} 0=-3x+3 \\ -3=-3x \\ x=(-3)/(-3) \\ x=1 \end{gathered}`
`\begin{gathered} 0=-x-1 \\ 1=-x \\ x=-1 \end{gathered}`

It means that the x intercepts of the lines are 1 and -1 respectively.

Using these points we can graph both lines, this way:

According to this graph, the intersection of these lines is at (2, -3). This represent the solution of the system, therefore, the solution of the system is x=2 and y=-3.