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VOCABULARY

VOCABULARY. Ordered Pair: identifies a point in the coordinate plane Linear Equation : a rule that defines a line in the coordinate plane Slope-intercept Form: Standard Form: . VOCABULARY.

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VOCABULARY

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  1. VOCABULARY • Ordered Pair: identifies a point in the coordinate plane • Linear Equation: a rule that defines a line in the coordinate plane • Slope-intercept Form: • Standard Form:

  2. VOCABULARY • System of Equations: a set of equations that are all satisfied by the same values of the variables • example:and are both true statements when and • A solution of a system in two variables is an ordered pair that makes BOTH equations true • in the example above, the solution is • Systems of Equations can have no solution, one solution or many solutions.

  3. VOCABULARY • Consistent Independent: • Has one solution • The lines intersect • Consistent Dependent: • Has many solutions (infinitely many) • The lines are the same • Inconsistent: • Has nosolution • The lines are parallel

  4. Objective: to find the solution to a system of equations using the substitution method • Step 1: Solve one of the equations for a variable • Step 2: Substitute the solution into the OTHER equation • Step 3: Solve the new equation from Step 2 • Step 4: Plug the solution from Step 3 into the equation from Step 1 and solve • Step 5: Check your answer – does the solution make both equations true statements?

  5. Substitution Method Example • Using the same system from yesterday:and • Step 1: Solving for we get • Step 2: Substituting this into we get • Step 3: Solving we get • Step 4: Plugging this into we get and solving we get and find our solution is • Step 5: Check your answer – does the solution make both equations true statements?

  6. Guided Practice and Step 1: Step 2: Step 3: Step 4: Step 5: and Step 1: Step 2: Step 3: Step 4: Step 5:

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