QuadraticsSolve a System Algebraically

Solve a System of Linear Equations

Aim: Substitute one function into another in order to find values that satisfy both functions.

x + y = 7x – y = 1

Find a solution, algebraically, that will satisfy both equations.

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.

5. Check the solution in both equations.Check: ( )

Solve a Quadratic - Linear System of Equations

Aim: Substitute one function into another in order to find values that satisfy both functions.

x2 – 14 = yy + 1 = 2x

Find a solution, algebraically, that will satisfy both equations.

1. Get one equation to ‘y = ‘ or ‘x =‘.2. Substitute one equation into the other equation.3. Solve for the variable.

Continued…

Aim: Substitute one function into another in order to find values that satisfy both functions.

x2 – 14 = yy + 1 = 2x

4. Get the other variable by substituting in either of the original equations.

5. Check each solution in all equations.Check:Check: