SOLUTION: how to solve a graPHIC EQUATION -6X+6Y=6 -6X+3y=-12 PLEASE HELP SOLVE

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Question 188803: how to solve a graPHIC EQUATION
-6X+6Y=6
-6X+3y=-12
PLEASE HELP SOLVE
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you want to solve this system by graphing.




Start with the given system of equations:


system%28-6x%2B6y=6%2C-6x%2B3y=-12%29


In order to graph these equations, we must solve for y first.


Let's graph the first equation:


-6x%2B6y=6 Start with the first equation.


6y=6%2B6x Add 6x to both sides.


y=%286%2B6x%29%2F%286%29 Divide both sides by 6 to isolate y.


y=x%2B1 Rearrange the terms and simplify.


Now let's graph the equation:


Graph of y=x%2B1.


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Now let's graph the second equation:


-6x%2B3y=-12 Start with the second equation.


3y=-12%2B6x Add 6x to both sides.


y=%28-12%2B6x%29%2F%283%29 Divide both sides by 3 to isolate y.


y=2x-4 Rearrange the terms and simplify.


Now let's graph the equation:


Graph of y=2x-4.


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Now let's graph the two equations together:


Graph of y=x%2B1 (red). Graph of y=2x-4 (green)


From the graph, we can see that the two lines intersect at the point . So the solution to the system of equations is . This tells us that the system of equations is consistent and independent.