{x,y} = {20,13/10}System of Linear Equations entered : [1] x + 150y = 215
[2] x + 120y = 176
Graphic Representation of the Equations : 150y + x = 215 120y + x = 176
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -120y + 176
// Plug this in for variable x in equation [1]
[1] (-120y+176) + 150y = 215
[1] 30y = 39
// Solve equation [1] for the variable y
[1] 30y = 39 [1] y = 13/10
By now we know this much :
x = -120y+176 y = 13/10
Use the y value to solve for x
x = -120(13/10)+176 = 20 Solution : {x,y} = {20,13/10}