*0≠ –2 Hence the two equations constitute an inconsistent system of linear equations and thus do no have a solution (At no point do the two straight lines intersect = In this method of equation solving, we work out on any of the given equations for one variable value, and then substitute that value in the other equation.*

Next we present and try to solve the examples in a more detailed step-by-step approach.

Examples given next are similar to those presented above and have been shown in a way that is more understandable for kids.

If we use the method of addition in solving these two equations, we can see that what we get is a simplified equation in one variable, as shown below.

x y = 15 x 5/2 = 15 x = 15 – 5/2 x = 25/2 Hence (x , y) = (25/2, 5/2) is the solution to the given system of equations. In Elimination Method, our aim is to "eliminate" one variable by making the coefficients of that variable equal and then adding/subtracting the two equations, depending on the case.

In this example, we see that the coefficients of all the variable are same, i.e., 1.

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