The linear equations are in the form of ax + by + c = 0. When we see the linear equations, then they are in the form of a straight line. In the above equation, a, b, & c are real numbers, in which a & b are not equal to zero. At the same time, x & y are the two variables. And c is the constant.
Pair of linear equations
When two linear equations are with each other, they are considered a pair of linear equations. In which both x & y terms are different from every equation.
First equation: a1x + b1y + c = 0.
Second equation: a2x + b2y + c = 0.
Graphical method
There are also some graphical methods to represent the linear equations in two variables. All these methods are discussed below:
When two linear equations intersect at a single point, that point is the solution for the particular equations.
When the two points coincide, there are infinite solutions to the linear equation on that point.
And when both lines move parallel to each other, there is no solution for such an equation. Further, this pair is known as the inconsistent point.
Methods of solving equations
Substitution method.
Cross multiplication method.
Elimination method.
Learning Videos for 10th Grade Math - Pair of Linear Equations in Two Variables