Question

14x+7y=217 14x+3y=189

Answer 1

 14x+7y=-217;14x+3y=189 Solution : {x,y} = {141/4,-203/2}  System of Linear Equations entered :  [1] 14x + 7y = -217   [2] 14x + 3y = 189 Graphic Representation of the Equations : 7y + 14x = -217 3y + 14x = 189 Skip Ad
Solve by Substitution :

// Solve equation [2] for the variable  y  
 

[2] 3y = -14x + 189 [2] y = -14x/3 + 63

// Plug this in for variable  y  in equation [1]

  [1] 14x + 7•(-14x/3+63) = -217   [1] -56x/3 = -658   [1] -56x = -1974

// Solve equation [1] for the variable  x  

  [1] 56x = 1974    [1] x = 141/4 

// By now we know this much :

  x = 141/4   y = -14x/3+63

// Use the  x  value to solve for  y  

  y = -(14/3)(141/4)+63 = -203/2 Solution : {x,y} = {141/4,-203/2}