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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.
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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