Question

Y=x+12 4x+2y=27 Solve each system of equation algebraically

Answer 1

Solve by Substitution :

// Solve equation [1] for the variable  y  
 

[1] y = x + 12

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

  [2] 2•(x +12) + 4x = 27   [2] 6x = 3

// Solve equation [2] for the variable  x  

  [2] 6x = 3    [2] x = 1/2 

// By now we know this much :

  y = x+12   x = 1/2

// Use the  x  value to solve for  y  

  y = (1/2)+12 = 25/2 Solution : {y,x} = {25/2,1/2}  y=x+12;4x+2y=27 Solution : {y,x} = {25/2,1/2}  System of Linear Equations entered : [1] y=x+12 [2] 4x+2y=27 Equations Simplified or Rearranged :  [1] y - x = 12   [2] 2y + 4x = 27