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}