Pair of 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 a² + b² ≠ 0. When plotted, it represents a straight line on the coordinate

Two linear equations considered together

Two linear equations considered together: a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0. The goal is to find values of x and y that satisfy both equations

Plot both equations as lines on

Plot both equations as lines on the same coordinate system. The point of intersection (if any) gives the solution. Three cases: intersecting lines (un

Solve one equation for one variable

Solve one equation for one variable in terms of the other, then substitute this expression into the second equation to find the value of one variable,

Multiply equations by suitable constants

Multiply equations by suitable constants to make coefficients of one variable equal, then add or subtract equations to eliminate that variable and sol