Y=x+12

4x+2y=27

Solve each system of equation algebraically

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