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**Solve a System Algebraically**

Quadratics Solve a System Algebraically

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**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.

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**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.

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**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:

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Solving Systems of Equations Algebraically STEPS: 1.Solve for a variable in either equation. Get variable alone (x or y) 2.Substitute for this variable.

Solving Systems of Equations Algebraically STEPS: 1.Solve for a variable in either equation. Get variable alone (x or y) 2.Substitute for this variable.

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