SOLUTION: please solve this linear equation using elimination. 5x/12 - y/6 = 3 x + 2y = 0

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Question 146516: please solve this linear equation using elimination.
5x/12 - y/6 = 3
x + 2y = 0
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation.


Multiply both sides by the LCD 12


Distribute and multiply


So we now have the system of equations:






Now add the equations together. In order to add 2 equations, group like terms and combine them



Combine like terms and simplify



Notice how the y terms cancel out




Simplify


Divide both sides by to isolate x


Reduce



Now plug this answer into the top equation to solve for y

Start with the first equation


Plug in


Multiply


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


So our answer is
and



which also looks like




Now let's graph the two equations (if you need help with graphing, check out this solver)


From the graph, we can see that the two equations intersect at . This visually verifies our answer.




graph of (red) and (green) and the intersection of the lines (blue circle).



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