princesspenelope590 princesspenelope590
  • 16-12-2020
  • Mathematics
contestada

5x+4y=116 10x+6y=204 solve for x and y

Respuesta :

jasmine70604
jasmine70604 jasmine70604
  • 16-12-2020

Answer:

x = 12

y = 14

Step-by-step explanation:

5x + 4y = 116

5 x 12 = 60

4 x 14 = 56

60 + 56 = 116

10x + 6y = 204

10 x 12 = 120

6 x 14 = 84

120 + 84 = 204

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

Here's how I found x and y:

10x + 6y = 204 can be divided by 2

5x + 3y = 102

Then I took 116 and subtracted 116 given the difference

in y.

116 - 102 = 14

So y =  14 and then I sovled for x:

5x + 56 = 116

116 - 56 = 60

60/5 = 12

10x + 84 = 204

204 - 84 = 120

120/10 = 12

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