This week we started our last unit on Systems of Linear equations. We have covered all the new information needed for grade 10 math.

We learned about the process of substitution and elimination to solve the x and y coordinates. Substitution is an algebraic method of finding solutions. Eliminations is used when all variables doesn’t have a coefficient of 1.

Substitution example:

First, make sure you are able to use the substitution method by checking if the coefficient of a variable is 1, and isolate that variable. Take the answer of the isolated variable and plug it into the other equation, this will make the equation contain only one variable(either x or y). Group the numbers and variables together and work out the equation until you can isolate the variable. Once the variable is isolated all you have to do is take the number and plug it into the first equation you were working with to get the other variable.

Elimination example:

Usually the elimination method is used when the variables doesn’t have a coefficient of 1. First, change the equations into standard form to make it easier to look at, and choose one pair of variables to make zero pairs. Add the two equations together and isolate the variable. Plug in the answer of the isolated variable into one of the original equations, and solve the equation until you are able to isolate the other variable.