SOLUTION: Use elimination method:tnx 5x-3y=32 4x+3y=4

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Question 183269: Use elimination method:tnx
5x-3y=32
4x+3y=4
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%285x-3y=32%2C4x%2B3y=4%29


Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%285x-3y%29%2B%284x%2B3y%29=%2832%29%2B%284%29


%285x%2B4x%29%2B%28-3y%2B3y%29=32%2B4 Group like terms.


9x%2B0y=36 Combine like terms.


9x=36 Simplify.


x=%2836%29%2F%289%29 Divide both sides by 9 to isolate x.


x=4 Reduce.


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5x-3y=32 Now go back to the first equation.


5%284%29-3y=32 Plug in x=4.


20-3y=32 Multiply.


-3y=32-20 Subtract 20 from both sides.


-3y=12 Combine like terms on the right side.


y=%2812%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=-4 Reduce.


So the solutions are x=4 and y=-4.


Which form the ordered pair .


This means that the system is consistent and independent.


Notice when we graph the equations, we see that they intersect at . So this visually verifies our answer.


Graph of 5x-3y=32 (red) and 4x%2B3y=4 (green)