1. Solve a System Algebraically
Quadratics
Solve a System Algebraically

2. Solve a System of Linear Equations
Aim: Substitute one function into another in order to find values that satisfy both functions.
Solve a System of Linear Equations
Find a solution, algebraically, that will satisfy both equations.
x + y = 7
x – y = 1
1. Get one equation to ‘y = ‘ or ‘x =‘.
2. Substitute one equation into the other
equation.
3. Solve for the variable.
4. Get the other variable by substituting
in either of the original equations.
Check: ( )
5. Check the solution in both equations.

3. Solve a Quadratic - Linear System of Equations
Aim: Substitute one function into another in order to find values that satisfy both functions.
Solve a Quadratic - Linear System of Equations
Find a solution, algebraically, that will satisfy both equations.
x2 – 14 = y
y + 1 = 2x
1. Get one equation to ‘y = ‘ or ‘x =‘.
2. Substitute one equation into the other
equation.
3. Solve for the variable.

4. Continued… x2 – 14 = y y + 1 = 2x Check: Check:
Aim: Substitute one function into another in order to find values that satisfy both functions.
Continued…
x2 – 14 = y
y + 1 = 2x
4. Get the other variable by substituting
in either of the original equations.
Check:
5. Check each solution in all equations.
Check: