10x+5y+80;15x+4y+72

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for example:
2x+y=8
x+3y=14

Solution for 10x+5y+80;15x+4y+72 system of equations: 


  • /| 10*x+5*y+80 = 0| 15*x+4*y+72 = 0
  • We try to solve the equation: 10*x+5*y+80 = 0
  • 10*x+5*y+80 = 0 // - 10*x+80
  • 5*y = -(10*x+80) // : 5
  • y = (-(10*x+80))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((-(10*x+80))/5)+15*x+72 = 0| y = (-(10*x+80))/5
  • (4*(-10*x-80))/5+15*x+72 = 0
  • 7*x-64+72 = 0
  • 7*x+8 = 0
  • 7*x+8 = 0 // - 8
  • 7*x = -8 // : 7
  • x = -8/7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(10*x+80))/5: 
  • y = (-(10*(-8/7)+80))/5
  • y = (-(80-8/7*10))/5
  • y = (-(80-80/7))/5
  • y = -480/7/5
  • y = -96/7
  • We get a system of equations:
  • /| y = -96/7| x = -8/7

 

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