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A solution to an equation is a list of value(s) for the variable(s) that make the equation true. For example, $(x,y)=(2,1)$ is a solution to the equation $x+2y=4$:
Use the method shown above to decide if each of the points in the table below is a solution to the equation $x+2y=4$.
Each of the points from the table above is plotted on the grid to the left. The graph of $x+2y=4$ is also shown on the grid.
To the left are the graphs of $x+3y=6$ and $x-y=2$.
Plug the coordinates of this point into the equation $x-y=2$.
Is the point of intersection a solution to the equation $x+3y=6$?
A solution to a system of equations is a single list of values that is a solution to all of the equations.
Plug the coordinates of this point into the equation $x+2y=-7$.
Is the point you found a solution to the equation $2x-3y=0$?
Plug the coordinates of the point you found into the first equation, $x+y=-1$.
Is the point you found a solution for the second equation, $2x+y=1$?
Is the point you found a solution for the third equation, $-x+2y=-8$?