Equations that have more than one unknown can have an infinite number of solutions. To be able to solve an equation like this, another equation needs to be used alongside it.
That way it is possible to find the only pair of values that solve both equations. These are known as simultaneous equations. An example of this is:. The most common method for solving simultaneous equations is the elimination method which means one of the unknowns will be removed from each equation. The remaining unknown can then be calculated. This can be done if the coefficient of one of the letters is the same in both equations, regardless of the sign. Solve the following simultaneous equations:.
First, identify which unknown has the same coefficient. The inverse of adding 9 is subtracting 9, so subtract 9 from both sides:.
Check the answers by substituting both values into the other original equation. If the equation balances, then the answers are correct:. Simultaneous equations Equations that have more than one unknown can have an infinite number of solutions. Solving simultaneous equations by elimination The most common method for solving simultaneous equations is the elimination method which means one of the unknowns will be removed from each equation.
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