Learn Class 9 Math - Linear Equations in Two Variables

The linear equations are always presented in the form.

Such a form consists of the variables, i.e., ax + by + c = 0. The linear equations are always presented in the straight-line form. In the ax + by + c = 0, a, b, & c are the form of real numbers. And in it, a & b will never equal zero.

In comparison, x & y are the forms of two variables, and c is always present in the same form.

Linear equations

When we see the two sets of linear equations together, they are always considered a pair of linear equations. And both sets of equation x & y variables are different from each other.

Solving methods of the equation

  • Substitution method.
  • Elimination method.
  • Cross multiplication method

Solutions of linear equations

  • When we see the linear equation in one variable, there is always one solution.
  • And in the linear equation of two variables, there are infinite types of solutions.
  • Many linear equations are there that consist of the solution (0,0).
  • The (0,0) solution equations are the equation that will normally pass with the origin.
  • Two-axis are presented on the graph, i.e., x and y.