Restaurant Receipts Cards - Highland Park ISD
Restaurant Receipts Cards - Highland Park ISD
Restaurant Receipts Cards - Highland Park ISD
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Systems by Algebraic Methods (pp. 4 of 4)<br />
Algebra 2<br />
HS Mathematics<br />
Unit: 05 Lesson: 01<br />
Finally, you can multiply BOTH equations by a constant, so that when they are combined, a variable<br />
will be eliminated. Then solve the system.<br />
Ex.<br />
8x<br />
3y<br />
41<br />
( 5)<br />
<br />
_____________ = 205<br />
6x<br />
5y<br />
39 ( )<br />
<br />
_____________ = -117<br />
_____________ = 88<br />
_______ + _______ = _____ _________ = ______<br />
Solution: (4, 3)<br />
MULTIPLY <br />
the equations by constants so<br />
that something will “cancel”<br />
ADD (or COMBINE) <br />
the equations together<br />
SOLVE <br />
the resulting equation<br />
PLUG <br />
the value back into an original<br />
equation to find the other<br />
variable<br />
17)<br />
4x<br />
5y<br />
3x<br />
2y<br />
70<br />
18<br />
18)<br />
12x<br />
7y<br />
8x<br />
11y<br />
59<br />
39<br />
19)<br />
10x<br />
7y<br />
15x<br />
8y<br />
16<br />
29<br />
20)<br />
6x<br />
7y<br />
2x<br />
5y<br />
47<br />
21<br />
©2010, TESCCC 08/01/10 page 35 of 60
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