Solving Problems Using Simultaneous Equations

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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.

While the substitution method may be the easiest to grasp on a conceptual level, there are other methods of solution available to us.

One such method is the so-called addition method, whereby equations are added to one another for the purpose of canceling variable terms.

Several algebraic techniques exist to solve simultaneous equations.

Perhaps the easiest to comprehend is the substitution method.

Once this has been done, the solution is the same as that for when one line was vertical or parallel.

The terms simultaneous equations and systems of equations refer to conditions where two or more unknown variables are related to each other through an equal number of equations.

This gives an equation with just one unknown, which can be solved in the usual way.

This value is then substituted in one or other of the original equations, giving an equation with one unknown.

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