Pair Of Linear Equations In Two VariablesA statement of equality of two algebraic expressions, which involve one or more unknown quantities is known as an equation. If there are two unknown quantities then equation is called linear equation in two variables. A linear equation is an equation which involves linear polynomials. A value of the variable which makes the … [Read more...] about Pair Of Linear Equations In Two Variables
Pair Of Linear Equations
Cross Multiplication Method For Solving Equations
Cross Multiplication Method For Solving EquationsBy the method of elimination by substitution, only those equations can be solved, which have unique solution. But the method of cross multiplication discussed below is applicable in all the cases; whether the system has a unique solution, no solution or infinitely many solutions. Let us solve the following system of … [Read more...] about Cross Multiplication Method For Solving Equations
Equations Reducible To A Pair Of Linear Equations
Equations Reducible To A Pair Of Linear Equations Examples Example 1: Solve the following system of equations – = – 1; + = 8 Sol. We have, – = – 1 ....(1) + = 8 ....(2) Let us consider 1/x = u and 1/y = v. Putting 1/x = u and 1/y = v in the above equations, we get; – v = – 1 ....(3) u + = 8 ....(4) Let us eliminate v from … [Read more...] about Equations Reducible To A Pair Of Linear Equations
Algebraic Methods Of Solving A Pair Of Linear Equations
Algebraic Methods Of Solving A Pair Of Linear Equations Sometimes, graphical method does not give an accurate answer. While reading the coordinates of a point on a graph paper, we are likely to make an error. So, we require some precise method to obtain accurate result. Algebraic methods given below yield accurate answers. (i) Method of elimination by substitution (ii) … [Read more...] about Algebraic Methods Of Solving A Pair Of Linear Equations