gabriel200291 gabriel200291
  • 19-04-2020
  • Mathematics
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What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 19-04-2020

Answer:

x=4 y=5

Step-by-step explanation:

5x + 2y = 30 and -5x + 4y = 0

Solve by adding the two equations together to eliminate x

5x + 2y = 30

-5x + 4y = 0

----------------------

   6y = 30

Divide each side by 6

6y/6 = 30/6

y =5

Now we solve for x

5x + 2y = 30

5x +2(5) = 30

5x+10 = 30

Subtract 10 from each side

5x+10-10 = 30-10

5x = 20

Divide each side by 5

5x/5 = 20/5

x = 4

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