1. Unit 7: Systems of Equations

2. Things to remember: What is a system of equations?
What is a solution of a system of equations?
How is the solution written?
How many solutions can there be to a system of equations?
What are the three ways to solve a system of equations?

3. Steps to solving systems by Substitution:
Solve one equation for y.
Substitute this value of y into the other equation.
Combine like terms and solve for x to find the x-coordinate of the solution.
Lastly, go back and substitute this value in for x in the original equation to find the y-coordinate of the solution.
The solution should be stated as the coordinate point (x, y).

4. 6x + 2y = 𝟏𝟎 y – x = 1

5. x = −4 2y + 3x = 20

6. x = 5y+10 2x − 10y = 20