Question

5x+y=10;7x-3y=14(simultaneous equation)

Answer 1

Answer:

{x,y} = {2,0}  

 

System of Linear Equations entered :

  [1]    5x + y = 10

  [2]    7x - 3y = 14

Graphic Representation of the Equations :

   y + 5x = 10        -3y + 7x = 14  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  y  

 

 [1]    y = -5x + 10

// Plug this in for variable  y  in equation [2]

  [2]    7x - 3•(-5x+10) = 14

  [2]    22x = 44

// Solve equation [2] for the variable  x  

  [2]    22x = 44  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = -5x+10

// Use the  x  value to solve for  y  

   y = -5(2)+10 = 0  

Solution :

{x,y} = {2,0}

Step-by-step explanation:

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