7.2 solving systems of equations algebraically
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7.2 Solving Systems of Equations Algebraically
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11Solve by Substitution
Examples
Practice Problems
Definitions System of Equations
2 or more equations on the same coordinate system
Consistent System Graph of equations cross each other (not parallel) System has a solution Slope is different
Inconsistent System Graph of equations do not cross each other
(parallel) System does not have a solution Slope is the same
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Consistent System Has a solution at (1,2)
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(1,2)
Inconsistent System No Solution
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Solve by Substitution Steps
Solve for x in the first equation Substitute the answer in for x in the second
equation Solve for y Substitute the value of y into either of the
original equations Solve for x Take the value of x and y and put them in
ordered pair form (x,y)
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Solve by Substitution Example
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Solve by Substitution Example (Cont.)
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Practice Problems Page 379
Problems 11-27
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