Using system of equations solve 2x-3y=5 4x+y=3

2x-3y=5; 4x+y=3 Solution : {x, y} = {1,-1} System of Linear Equations entered : [1] 2x - 3y = 5 [2] 4x + y = 3 Graphic Representation of the Equations : - 3y + 2x = 5 y + 4x = 3 Solve by Substitution:

/ / Solve equation [2] for the variable y

[2] y = - 4x + 3

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

[1] 2x - 3• (-4x+3) = 5 [1] 14x = 14

/ / Solve equation [1] for the variable x

[1] 14x = 14 [1] x = 1

/ / By now we know this much:

x = 1 y = - 4x+3

/ / Use the x value to solve for y

y = - 4 (1) + 3 = - 1 Solution : {x, y} = {1,-1}