Download x/ 3y x/ 3y \1 x/ 3\1 y/ 33 x/ 2\1 y/ 3

LESSON
NAME _________________________________________________________ DATE ___________
7.3
Challenge: Skills and Applications
For use with pages 411–417
In Exercises 1–2, use linear combinations to solve the system
of equations.
Example: 5
5
1x 21y 3
1x 31y 33
Solution: Let u 1
1
and v . Substituting, the system becomes
x
y
5u 2v 3
5u 3v 33
1
1
By adding, you get v 6, u 3. Therefore 3 and 6 or
x
y
1
1
x and y .
3
6
The solution is
1. 4 1 13, 16.
1
3y 11
x
1
3y 14
10 1 x
2. 3x y3 6
8x y3 29
In Exercises 3–8, use linear combinations to solve the system of
equations for x and y in terms of the other variables.
Lesson 7.3
3. 5ax 3y 5
2ax 3y 11
5. 4x ay 7
2x ay 11
7. ax 2y 5
4ax 11y 8
48
Algebra 1
Chapter 7 Resource Book
4. 3x 6y 9a
5x 6y 7a
6. x by 8
4x 3by 22
8. ax 3by 12
2ax by 19
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