4x-9y=-48;y=-9x+62

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Solution for 4x-9y=-48;y=-9x+62 system of equations: 


  • /| 4*x-(9*y)+48 = 0| y-(-9*x)-62 = 0
  • We try to solve the equation: 4*x-(9*y)+48 = 0
  • 4*x-9*y+48 = 0 // - 4*x+48
  • -9*y = -(4*x+48) // : -9
  • y = (-(4*x+48))/(-9)
  • y = (4*x+48)/9
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (4*x+48)/9-(-9*x)-62 = 0| y = (4*x+48)/9
  • (4*x+48)/9+9*x-62 = 0
  • 85/9*x-62+16/3 = 0
  • 85/9*x-170/3 = 0
  • 85/9*x-170/3 = 0 // + 170/3
  • 85/9*x = 170/3 // : 85/9
  • x = 170/3/85/9
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+48)/9: 
  • y = (4*6+48)/9
  • y = (24+48)/9
  • y = 72/9
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 6

 

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