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}