7x+2y=5;13x+14y=-1 Solution :
{x,y} = {1,-1}
System of Linear Equations entered :
[1] 7x + 2y = 5
[2] 13x + 14y = -1
Graphic Representation of the Equations :
2y + 7x = 5 14y + 13x = -1
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 14y = -13x - 1
[2] y = -13x/14 - 1/14// Plug this in for variable y in equation [1]
[1] 7x + 2•(-13x/14-1/14) = 5
[1] 36x/7 = 36/7
[1] 36x = 36
// Solve equation [1] for the variable x
[1] 36x = 36
[1] x = 1 // By now we know this much :
x = 1
y = -13x/14-1/14// Use the x value to solve for y
y = -(13/14)(1)-1/14 = -1 Solution :
{x,y} = {1,-1}
Processing ends successfully