Solving Problems Using Simultaneous Equations Essay On Saving Environment
While the substitution method may be the easiest to grasp on a conceptual level, there are other methods of solution available to us.
It involves what it says − substitution − using one of the equations to get an expression of the form ‘y = …’ or ‘x = …’ and substituting this into the other equation.The object is to manipulate the two equations so that, when combined, either the x term or the y term is eliminated (hence the name) − the resulting equation with just one unknown can then be solved: Here we will manipulate one of the equations so that when it is combined with the other equation either the x or y terms will drop out.In this example the x term will drop out giving a solution for y.An option we have, then, is to add the corresponding sides of the equations together to form a new equation.Since each equation is an expression of equality (the same quantity on either side of the sign), adding the left-hand side of one equation to the left-hand side of the other equation is valid so long as we add the two equations’ right-hand sides together as well.Note: Only draw a graph if the question asks you to, it is usually quicker to work out the point two simultaneous equtions cross algebraically. This method for solving a pair of simultaneous linear equations reduces one equation to one that has only a single variable. Students need to use a pronumeral to represent the unknown number They then need to write an equation and solve it to find the value of the unknown number. Lenin invests some amount in deposit A and some amount in deposit B. He gets 10% income on deposit A and 20% income on deposit B.Several algebraic techniques exist to solve simultaneous equations.Perhaps the easiest to comprehend is the substitution method.