Simultaneous (Linear) Equations

An equation of the form ax

An equation of the form ax + by + c = 0 where a, b, c are constants and x, y are variables with degree 1. Two such equations with same variables form

Steps

Steps: (1) Express one variable in terms of another from any equation (2) Substitute this value in the other equation (3) Solve for one variable (4) F

Steps

Steps: (1) Multiply equations to make coefficients of one variable equal (2) Add or subtract equations to eliminate that variable (3) Solve for remain

For equations a₁x + b₁y +

For equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, arrange coefficients as: |b₁ c₁ a₁| |b₂ c₂ a₂|. Then x/(b₁c₂ - b₂c₁) = y/(c₁a₂ - c₂a₁) = 1/(a

Equations like 7/x + 8/y =

Equations like 7/x + 8/y = 2 can be solved by substituting 1/x = a and 1/y = b, converting them to linear equations in a and b, then finding x and y.