SOLUTION: solve the system of equations and enter the solution as an ordered pair 7x-3y+5=16 4y=3x+17

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Question 174201: solve the system of equations and enter the solution as an ordered pair
7x-3y+5=16
4y=3x+17
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4y=3x%2B17 Start with the second equation.


y=%283x%2B17%29%2F4 Divide both sides by 4 to isolate y.


7x-3y%2B5=16 Move onto the first equation


7x-3%28%283x%2B17%29%2F4%29%2B5=16 Plug in y=%283x%2B17%29%2F4


7x-%289x%2B51%29%2F4%2B5=16 Distribute


28x-%289x%2B51%29%2B20=64 Multiply EVERY term by the LCD 4 to clear out the fraction.


28x-9x-51%2B20=64 Distribute.


19x-31=64 Combine like terms on the left side.


19x=64%2B31 Add 31 to both sides.


19x=95 Combine like terms on the right side.


x=%2895%29%2F%2819%29 Divide both sides by 19 to isolate x.


x=5 Reduce. So this is the first answer.


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y=%283x%2B17%29%2F4 Go back to the isolated equation


y=%283%285%29%2B17%29%2F4 Plug in x=5


y=%2815%2B17%29%2F4 Multiply


y=%2832%29%2F4 Add


y=8 Reduce. So this is the second answer.


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Answer:

So the solutions are x=5 and y=8 which form the ordered pair (5,8)