Any equation involving two variables of one degree each is said to be a linear equation of two variables and when we consider a number of such equations it is called a System of Linear Equations in Two Variables.

Let ax+by=pax+by=p ...... (1)

be a linear (when the degree or the highest power of the variable is one) equation of two variables where a, b, and p are constants belonging to the set of real numbers again another linear equation of two variables be

cx+dy=qcx+dy=q ...... (2)

Where c, d, and q are constants of real numbers

When we represent equations (1) and (2) together it forms a system of linear equations in two variables.

In order to get a solution to a system of linear equation, it has to be remembered that if two linear equations are there, there has to be two variables involved in the equations.

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The solution of a system of linear equations in two variables is the set of values of the variables ... View the full answer