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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

Here is a system of equationsy3x3yx1Graph the system Then write its solution Note that you can also answer No solution or Infinitely many solutions6 class=


Answer :

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:

[tex]\begin{gathered} 0=-3x+3 \\ -3=-3x \\ x=\frac{-3}{-3} \\ x=1 \end{gathered}[/tex][tex]\begin{gathered} 0=-x-1 \\ 1=-x \\ x=-1 \end{gathered}[/tex]

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.

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