This week in math 10 we learned how to find solutions from systems. A system is when we consider two lines at a time to find a solution. The solution you come up with depends on the systems you have. There is one solution if the system follows m1 does not equal m2. There are 0 solutions if the system is parallel and follows m1=m2 but y1 does not equal y2. There are infinite solutions if the two systems are identical. Now to find a solution between two systems, you can go about it 3 different ways. You can find the solution by graphing , substitution and elimination. My favourite is elimination. These are the steps I like to follow when finding a solution by elimination.

Step 1. 

Multiply one of the two equations to even out the equations so that you can isolate one of the variables.

Step 2. 

Add or subtract the second equation from the first. Depending on what you multiplied the equation by in the first step will determine if you subtract or add.

Step 3. 

Solve for x or y in the new equation.

Step 4. 

Substitute whatever you got for x or y into the original equations and from there you are able to solve for x.

A Solution is found when x and y work for both of the original equations.