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Solve systems of linear equations, in two variables graphically. The intersection of the graph of two linear equations is the point(s) of intersection between the two lines. NOTE: The fastest and easiest method of graphing is using the slopeintercept method (y=mx+b).
There are 3 types of solutions to systems of linear relations:
Enrichment
Note: If there are no solutions, the system is inconsistent. If there is at leason one solutions, the system is either independent or dependent. 
Linear Systems Interactive Activity Focus attention on the y = mx + b form for LINE ONE and LINE TWO.

Alberta Education Terms of Use
Process for a system of 2 linear equations using the variables c and d:
Sample solution:
Process for a system of 2 linear equations using the variables x and y:
Sample solution: In this case the system of 2 equations can be added to eliminate y.
Process for a system of 2 linear equations using two variables:
 Pick a variable to eliminate. Take a close look as one choice will likely make the solution simpler.
 Decide what the common multiple is for the coefficients of the two variables.
 For 4x and 8x, the common multiple will be 8x.
 For 2a and 3a, the common multiple will be 6a.
 Determine the factor needed to multiply by to make a new equation that will have the common multiple for the variable selected.
 Create new equation(s) my multiplying by the factor(s) determined.
 Add or subtract the new system of equations to eliminate one of the variables.
 Isolate the remaining variable in the sum.
 Use the isolated value to determine the value of the second variable.
 Check your work.
 Report the answer as an ordered pair (x, y)
Sample solution 1 (One Step) In this case multiply the first equation by 2. Subtract second equation from this new equation this new equation to eliminate x.
Sample solution 2 (Two Step) In this case multiply the first equation by 2 and the second equation by 3. Subtract the fourth equation from the third equation to eliminate a.
Parts of this work has been adapted from a Math 20 Pure learning resource originally produced and owned by Alberta Education.