So, these solutions are helpful for their study also. Visit to Discussion Forum to ask your doubts and answers to the questions asked by others. There are infinite number of points on a line. So, a linear equations have infinite number of solutions. A system of linear equations may have o solution or one solutions or infinite many solutions. For a parallel lines, there is no solution at all. If all the lines are intersecting at one point, then we can say that the system of linear equations are consistent and have a unique solution.
Download Exercise 3. Class 10 Byjus Class 11 Maths Trigonometry Lyrics Maths Exercise 3. Class 10 Maths Chapter 3 Exercise 3. Important Terms for Pair of Linear Equations The graph of a pair of linear equations in two variables is represented by two lines. If the lines intersect at a point, the pair of equations is consistent. The point of intersection gives the unique solution of the equations. If the lines are parallel, then there is no solution the pair of linear equations is inconsistent.
If the lines coincide, then there are infinitely many solutions. The pair of linear equations is consistent. Each point on the line is a solution of both the equations. Find the number of deer and human visitors in the park. What are fares from Delhi to station A and to station B? Find the cost of each. What do you mean by the solution of a linear Equation? Every solution of the equation is a point on the line representing it.
How many solutions do a linear equation have? How many solutions do a system of linear equations have? How do we check graphically that the system of linear equations have a unique solutions? Exercise 3.
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