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Grade 9/Math/MPM1DZ/Final_Exam_Study_Sheet.md
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# Ways to solve Systems of Equations # Ways to solve Systems of Equations
1. Subsitution ## 1. Subsitution
- Here we eliminate a variable by subbing in another variable from another equation - Here we eliminate a variable by subbing in another variable from another equation
- We usually do this method if a variable is easily isolated - We usually do this method if a variable is easily isolated
- Example: - Example:
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```y = -2 + 10``` ```y = -2 + 10```
```y = -8``` ```y = -8```
2. Elimination ## 2. Elimination
- Here we eliminate a variable by basically eliminate a variable from an equation - Here we eliminate a variable by basically eliminate a variable from an equation
- We usually use this method first when the variables are not easily isolated, then use subsitution to solve - We usually use this method first when the variables are not easily isolated, then use subsitution to solve
- Example: - Example:
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```3y = 6``` ```3y = 6```
```y = 2``` ```y = 2```
3. Graphing ## 3. Graphing
- we can rewrite the equations into ```y-intercept form``` and then graph the lines, and see where the lines intersect (P.O.I), and the P.O.I is the solution - we can rewrite the equations into ```y-intercept form``` and then graph the lines, and see where the lines intersect (P.O.I), and the P.O.I is the solution
## Solving Systems of Linear Inequalities ## Solving Systems of Linear Inequalities
- Find the intersection region as the ```solution```. - Find the intersection region as the ```solution```.