Simultaneous Equations

After studying this section, you will be able to:

  • solve simultaneous linear equations by substitution
  • solve simultaneous linear equations by elimination
  • solve simultaneous linear equations using straight line graphs

If an equation has two unknowns, such as 2y + x = 20, it cannot have unique solutions. Two unknowns require two equations which are solved at the sametime (simultaneously) − but even then two equations involving two unknowns do not always give unique solutions.

The video below works through examples of simultaneous equations. The step-by-step example shows how to group like terms and then add or subtract to remove one of the unknowns, to leave one unknown to be solved.

This method is called solution by substitution.
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. 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.

NOTE:With this method you need to take particular care with your algebra. Should your solutions be ‘strange’ fractions such as 9/13 the chances are you’ve  made a slip − check your algebra.

image: http://revisionworld.com/sites/revisionworld.com/files/imce/gcse%20algebra%20simultaneous%20equations%20example%201.jpg

simultaneous equations

NOTE:

  • It is a good idea to label each equation. It helps you explain what you are doing − and may gain you method marks.
  • This value of x can be substituted into equation [1] or [2], or into the expression for y: y = 2x − 1.
  • Choose the one that is easiest!
  • As a check, substitute the values back into each of the two starting equations.

The second method is called solution by elimination.

NOTE:The method is not quite as hard as it first seems, but it helps if you know why it works.

It works because of two properties of equations:

  • Multiplying (or dividing) the expression on each side by the same number does not alter the equation.
  • Adding two equations produces another valid equation:
    e.g. 2x = x + 10 (x = 10) and x − 3 = 7 (x also = 10).
    Adding the equations gives 2x + x − 3 = x + 10 + 7 (x also = 10).

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:

image: http://revisionworld.com/sites/revisionworld.com/files/imce/gcse%20algebra%20solution%20%20by%20elimination.jpg

elimination method for simultaneous equations

Solving simultaneous linear equations using straight line graphs

image: http://revisionworld.com/sites/revisionworld.com/files/imce/gcse%20algebra%20solving%20using%20graphs.jpg

simultaneuous equations using straight line graphs

NOTE:
Because the graphs of 2y + x = 8 and y + 1 = 2x are straight lines, they are called linear equations.

Drawing two straight line graphs to solve simultaneous
equations also works the other way round − solving the two simultaneous equations algebraically gives the coordinates of the point of intersection of the two straight line graphs of the two simultaneous equations.

PROGRESS CHECK

PROGRESS CHECK

image: 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