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Systems by Algebraic Methods (pp. 2 of 4))<br />

Algebra 2<br />

HS Mathematics<br />

Unit: 05 Lesson: 01<br />

Sometimes, solving systems with the substitution method can yield strange results…<br />

Try to solve these systems.<br />

5) 5x y 2 10x 2y<br />

9<br />

6) 3x 9y<br />

24<br />

2x<br />

6y<br />

16<br />

When solving a system algebraically…<br />

If you end up with an equation that is ______________ true,<br />

4 9<br />

the system has _____________________ (or, it is _________________________ )<br />

or, graphically, the equations’ lines would be ___________________________.<br />

If you end up with an equation that is _________________ true,<br />

-24 = -24<br />

the system has _____________________ (or, it is _________________________ )<br />

or, graphically, the equations’ lines would be ___________________________.<br />

Continue solving these systems algebraically using the substitution method.<br />

7) 3x y 155<br />

6x 7y<br />

5 8) 7x 2y<br />

3<br />

2x<br />

4y<br />

42<br />

9) 2x 12y<br />

40<br />

x 6y<br />

19 10) 9x y 6 3x<br />

5y<br />

42<br />

©2010, TESCCC 08/01/10 page 33 of 60

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