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3.1 Solving equations by Graphing

3.1 Solving equations by Graphing. System of equations Consistent vs. Inconsistent Independent vs. Dependent. System of Equations. Two or more equations with the same variables. To solve a system of equations, you must find where the graph of the equations intersect.

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3.1 Solving equations by Graphing

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  1. 3.1 Solving equations by Graphing System of equations Consistent vs. Inconsistent Independent vs. Dependent

  2. System of Equations Two or more equations with the same variables. To solve a system of equations, you must find where the graph of the equations intersect.

  3. Consistent vs. Inconsistent Consistent – one or more solution (points where the graph intersect) Inconsistent – No solution (no intersects) Inconsistent have the same slope.

  4. Consistent

  5. Inconsistent

  6. Independent vs. Dependent Independent – One solution (Consistent) Dependent – Many solutions ( the same equation)

  7. Dependent y = 3x + 5 -6x + 2y = 10 The same line. So all the order pairs are the same.

  8. In a Consistent System there can only be one The answer (order pair) is correct in both equation. 3x – 7y = - 6; -7y = -3x – 6; X + 2y = 11; 2y = - x + 11;

  9. Then we graph and

  10. Then we graph and

  11. There must be a better way The rest of the chapter show a better way. So on to Section 3.2

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