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Question 60068: please tell me if I have the correct solution to this problem I have to solve by graphing and find the solution
x-2y=8
3x-2y=12 this is what I got for the solution (0,6) (-2,0)
Answer by rchill(405)   (Show Source):
You can put this solution on YOUR website! When you solve two linear equations by graphing, there are only three possible solutions: (1) the point where the two lines intersect; (2) no solution because the lines are parallel; (3) infinite solution because the lines are the same. No matter what, always, always, always, solve each equation for y. So for the first equation we get  and the second one is  . We see immediately that the two slopes are different, so the lines aren't parallel nor are the lines the same. So now we plot them and see where they intersect. Looking at the graph below, you see the point of intersection is (-2,-3) and that is our solution. To verify that solution, substitute the values of -2 and -3 for x and y respectively into each original equation. If both equations are true, then the solution is correct.
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