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.