# Graphing Calculator Activities Use a graphing calculator to check your answers for Problem 64. There is another way of telling whether a system of two linear equations in two unknowns is consistent or inconsistent, or whether the equations are dependent, without taking the time to graph each equation. It can be shown that any system of the form a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Has one and only one solution if a 1 a 2 ≠ b 1 b 2 That it has no solution if a 1 a 2 = b 1 b 2 ≠ c 1 c 2 And that it has infinitely many solutions if a 1 a 2 = b 1 b 2 = c 1 c 2 For each of the following systems, determine whether the system is consistent, the system is inconsistent, or the equations are dependent. (a) ( 4 x − 3 y = 7 9 x + 2 y = 5 ) (b) ( 5 x − y = 6 10 x − 2 y = 19 ) (c) ( 5 x − 4 y = 11 4 x + 5 y = 12 ) (d) ( x + 2 y = 5 x − 2 y = 9 ) (e) ( x − 3 y = 5 3 x − 9 y = 15 ) (f) ( 4 x + 3 y = 7 2 x − y = 10 ) (g) ( 3 x + 2 y = 4 y = − 3 2 x − 1 ) (h) ( y = 4 3 x − 2 4 x − 3 y = 6 ) BuyFind

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728 BuyFind

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
Publisher: Cengage Learning
ISBN: 9781285195728

#### Solutions

Chapter 10.3, Problem 66PS
Textbook Problem

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