x - MathnMind
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x - MathnMind
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Your Notes<br />
Example 3 Solve a quadratic system by elimination<br />
Solve the system by elimination.<br />
5x2 1 y2 1 48x 1 99 5 0 Equation 1<br />
x2 2 y2 2 9 5 0 Equation 2<br />
Solution<br />
Add the equations to eliminate the y2-term and obtain a<br />
quadratic equation in x.<br />
5x2 1 y2 1 48x 1 99 5 0<br />
x 2 2 y 2 2 9 5 0<br />
5 Add.<br />
5 Divide each side by .<br />
5 Factor.<br />
x 5 or x 5 Zero product property<br />
When x 5 , y 5 . When x 5 , y 5 .<br />
The solutions are , , and .<br />
Checkpoint Solve the system by elimination.<br />
3. 2x 2 1 2y 2 2 26 5 0<br />
2x 2 1 y 1 7 5 0<br />
Copyright © Holt McDougal. All rights reserved. Lesson 9.7 Algebra 2 Notetaking Guide 255
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