linear equations formula

Linear Equation Formula PDF Download

Maths Formulas

Linear Equation Formula

 linear Equation Formula  A linear equation is also known as an algebraic equation in which each term has an exponent of one. The graph representation of the equation shows a straight line. Standard form of linear equation is y = m x + b.

A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
Standard form of linear equation is y = mx + b. Where x is the variable, and y, m, and b are the constants.

linear equation formula

Linear equation formula in one variable

Linear Equations in one variable, and it will be defined as ax + b = 0
Where a and b are constant, a ≠ 0, and also x is an unknown variable
The solution of the equation ax + b = 0 is x =– \frac{b}{a}–ab​ . We can also say that – \frac{b}{a}–ab​ is the root of the linear equation ax + b = 0.

Linear equation formula in two variables

A Linear Equations in two variables will be defined as ax + by + c = 0
Where a, b, and c are constants and also, both a and b ≠ 0

Linear equation formulas and methods to solve linear equations

Substitution Method

1:    By solving one of the equations either for x or y.

2:    So substitute the solution from step 1 into the other equation.

3:   So now solve this equation for the second variable.

Elimination Method

1:    Multiply both the equations with such numbers to make the coefficients of one of the two unknowns numerically the same.

2:    Subtract the second equation from the first equation.

3:    In either of the two equations, substitute the value of the unknown variable. So, the value of the other unknown variable is obtained by solving the equation

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