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Linear Equations: Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers and a and b are not both zero is called a linear equation in two variables.
The solution of a linear equation is not affected when
the same number is added to (or subtracted from) both the sides of the equation.
you multiply or divide both the sides of the equation by the same non-zero number.
A linear equation in two variables has infinitely many solutions.
The graph of every linear equation in two variables is a straight line.
x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.
The graph of x = a is a straight line parallel to the y-axis.
The graph of y = a is a straight line parallel to the x-axis.
An equation of the type y = mx represents a line passing through the origin.
Every point on the graph of a linear equation in two variables is a solution of the linear equation. Moreover, every solution of the linear equation is a point on the graph of the linear equation.
Graph of a Linear Equation in Two Variables: We know that a linear equation in two variables has infinitely many solutions. We write the solutions as a pair of values and plot, these points on a graph paper and join them to get a line.
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Answer:
=> Linear Equations: Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers and a and b are not both zero is called a linear equation in two variables.
=> The solution of a linear equation is not affected when:-
(1)- the same number is added to (or subtracted from) both the sides of the equation.
you multiply or divide both the sides of the equation by the same non-zero number.
=> A linear equation in two variables has infinitely many solutions.
=> The graph of every linear equation in two variables is a straight line.
x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.
The graph of x = a is a straight line parallel to the y-axis.
The graph of y = a is a straight line parallel to the x-axis.
=> An equation of the type y = mx represents a line passing through the origin.
=> Every point on the graph of a linear equation in two variables is a solution of the linear equation. Moreover, every solution of the linear equation is a point on the graph of the linear equation.
=> Graph of a Linear Equation in Two Variables: We know that a linear equation in two variables has infinitely many solutions. We write the solutions as a pair of values and plot, these points on a graph paper and join them to get a line.