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, and c are real numbers with a ≠ 0 and b ≠ 0. The graph of this equation is always a straight line

Two linear equations considered together

Two linear equations considered together, written as: a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0. For example, x - 2y = 0 and 3x + 4y - 20 = 0 form a p

For equations a₁x + b₁y +

For equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, compare ratios a₁/a₂, b₁/b₂, and c₁/c₂: (1) If a₁/a₂ ≠ b₁/b₂: lines intersect at one point (u

Plot both equations as straight lines

Plot both equations as straight lines on a coordinate plane using at least two points for each line. (1) If lines intersect at one point: that point's

Step 1

Step 1: Express one variable in terms of the other from either equation (choose the simpler one). Step 2: Substitute this expression into the other eq