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Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. System Ax - 3y = −9-x + 3y = −9

Respuesta :

Given: The system of equations below

[tex]\begin{gathered} x-3y=-9 \\ -x+3y=-9 \end{gathered}[/tex]

To Determine: The best description of its solution

Solution

Let us conbine the two equations

[tex]\begin{gathered} equation1:x-3y=-9 \\ equation2:-x+3y=-9 \\ equation1+equation2 \end{gathered}[/tex][tex]\begin{gathered} x+-x-3y++3y=-9+-9 \\ x-x-3y+3y=-9-9 \\ 0-0=-18 \\ 0=-18 \end{gathered}[/tex]

Since 0 =-18, let us plot the graph as shown below

From the above graph and calculations, we can conclude that the description of the solution is

There is no solution

Ver imagen KarlyL723463