2x+5y=16;2x+3y=8

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 2x+5y=16;2x+3y=8 system of equations:


  • /| 2*x+5*y-16 = 0| 2*x+3*y-8 = 0
  • We try to solve the equation: 2*x+5*y-16 = 0
  • 2*x+5*y-16 = 0 / - 2*x-16
  • 5*y = -(2*x-16) / : 5
  • y = (-(2*x-16))/5
  • y = (16-(2*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((16-(2*x))/5)+2*x-8 = 0| y = (16-(2*x))/5
  • (3*(16-2*x))/5+2*x-8 = 0
  • 4/5*x-8+48/5 = 0
  • 4/5*x+8/5 = 0
  • 4/5*x+8/5 = 0 / - 8/5
  • 4/5*x = -8/5 / : 4/5
  • x = -8/5/4/5
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (16-(2*x))/5:
  • y = (16-(-2*2))/5
  • y = (4+16)/5
  • y = 20/5
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = -2

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