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

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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.

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

Consistent

Inconsistent

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

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

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;

Then we graph and

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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