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:
- 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)
- 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)
- Workout the problem until you have isolated the variable
- You then put the value of the variable that has just been found into the rearranged equation to solve for the other variable
- After finding both coordinates make sure to write them as ordered pairs ie. (_,_)
- Make sure to verify your solutions
How to verify:
- All you need to do to verify the solutions are by inputting the values of the variables into the equation
- 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