An online calculator to find the point(s) of intersection of two lines given by the equations : a x + b y = c and d x + e y = f .

Intersection of two Lines

This calculator solves the system of equations, represented by the equations of the two lines above.
1 - if you enter parameters a, b, c, d, e and f such that D = a × e - b × d is not equal to zero, one point of intersection exists and is calculated and displayed.
2 - if you enter parameters a, b, c, d, e and f such that D = a × e - b × d = 0, two possible cases:
case 1) If either Dx = c × e - b × d is not equal to zero or Dy = c × e - b × d is not equal to zero, no point of intersection exists. The message "no solutions" is dispalyed.
case 2) If both Dx = c × e - b × f = 0 and Dy = a × f - c × d = 0, the two lines are equivalent and have an infinite number of points of intersection given by the graph of one of the two equations.

How to use the calculator to Find the Intersection of two Lines?

1 - Enter parameters a, b and c, of the equation of the first line and parameters d, e and f of the equation of second line and press "enter".