SOLUTION: what is the solution of 2x+Y=-4 6x+3y=-12 i have to put it in y form first then find m and b then graph the solutions

Algebra ->  Linear-equations -> SOLUTION: what is the solution of 2x+Y=-4 6x+3y=-12 i have to put it in y form first then find m and b then graph the solutions      Log On


   

Question 188221: what is the solution of
2x+Y=-4
6x+3y=-12
i have to put it in y form first then find m and b then graph the solutions
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:


system%282x%2By=-4%2C6x%2B3y=-12%29


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


Let's graph the first equation:


2x%2By=-4 Start with the first equation.


y=-4-2x Subtract 2x from both sides.


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 second equation:


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


3y=-12-6x Subtract 6x from both sides.


y=%28-12-6x%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=-2x-4 (red). Graph of y=-2x-4 (green)


From the graph, we can see that one line is right on top of the other one, which means that they intersect an infinite number of times.


So there are an infinite number of solutions. This means that the system of equations is consistent and dependent.