System of Linear Equations entered :
[1] 4x + 3y = 9
[2] 3x + 4y = 12
Graphic Representation of the Equations :
3y + 4x = 9 4y + 3x = 12
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -3x + 12
[2] y = -3x/4 + 3
// Plug this in for variable y in equation [1]
[1] 4x + 3•(-3x/4+3) = 9
[1] 7x/4 = 0
[1] 7x = 0
// Solve equation [1] for the variable x
[1] 7x = 0
[1] x = 0
// By now we know this much :
x = 0
y = -3x/4+3
// Use the x value to solve for y
y = -(3/4)(-0/17603848)+3 = 3
Solution :
{x,y} = {0/17603848,3}