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Home
Math
Algebra
Simultaneous equations 1
Simultaneous equations
Simultaneous equations have two unknowns
You need to find the values for the two unknowns which make both equations true
Algebraic solution
Number each equation
If necessary, multiply the equations so that the coefficients of one unknown are the same
Add or subtract the equations to eliminate that unknown
Once one unknown is found use substitution to find the other
Check the answer by substituting both values into the other equation
Easier eliminations
You can save time by choosing the right unknown to eliminate
Look for one of these
If an unknown appears on its own in one equation you only need to multiply one equation to eliminate that unknown
If an unknown has different signs in the two equations tou can eliminate by adding
Check it
Always use the equation you didn’t substitute into to check your answer
Graphical solution
You can solve these simultaneous equations by drawing a graph
The coordinates of the point of intersection give the solution to the simultaneous equation
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