This week in math 10 we started our last week of learning any new information for our upcoming unit 10 test. This week we learned about how to find the x and y coordinates when given two equations. One way of finding the coordinates is through a process called substitution. Substitution is used to solve for one variable so that you can use that value to solve for another variable in the equation.

Example:

  

Steps:

1. First, you need to pick one of the two equations and rearrange the equation so that it is written as either x = ___ or y = ___ (x + 12y = 3 —> x = -12y + 3)
2. Next, you need to substitute the value of that variable into the other equation using brackets. So wherever there is an x in the other equation we replace it with (-12y + 3)
3. Workout the problem until you have isolated the variable
4. You then put the value of the variable that has just been found into the rearranged equation to solve for the other variable
5. After finding both coordinates make sure to write them as ordered pairs ie. (_,_)
6. Make sure to verify your solutions

How to verify:

1. All you need to do to verify the solutions are by inputting the values of the variables into the equation
2. To know if you have done the solving of the variables correctly, both sides of the equation should be equal/ prove true ie: 7 + 6 = 13 or 13 = 13