Linear Equations in Two Variables

An equation of the form ax

An equation of the form ax + by + c = 0, where a, b, c are real numbers and a, b are not both zero simultaneously. The highest power of variables is 1

A system of two linear equations

A system of two linear equations in two variables considered together. For example: x + y = 4 and 2x - y = 2. The solution satisfies both equations si

Method of solving simultaneous equations by

Method of solving simultaneous equations by plotting both equations as straight lines on a coordinate plane. The intersection point gives the solution

A mathematical expression |a b

A mathematical expression |a b; c d| = ad - bc. For a 2×2 matrix, it's calculated as the difference between the products of diagonal elements.

Method using determinants to solve simultaneous

Method using determinants to solve simultaneous equations ax₁ + by₁ = c₁ and ax₂ + by₂ = c₂. Solution: x = Dx/D, y = Dy/D, where D, Dx, Dy are specifi