1. Solve and verify each of the following systems of linear equations.

/3 a. 5x - 2y = - 6 and 2x - y = 1

Answer:

/3 b. 2x + 3y = 432 and 5x - 2y = 16

Answer:

5x - 2y = - 6 ⇒ 10x - 4y = - 12

2x - 1y = 1 ⇒ 10x - 5y = 5

y = - 17

5x - 2 (-17) = - 6

5x + 34 = - 6

- 34 - 34

5x = - 40

5 5

x = - 8

(x, y) = (-8, - 17)

2x + 3y = 432 ⇒ 10x + 15y = 2160

5x + 2y = 16 ⇒ 10x + 4y = 32

11y = 2128

11 11

y = 193.4545455

2x + 3 (193.4545455) = 432

2x + 580.3636364 = 432

- 580.3636364 - 580.3636364

2x = - 148.3636364

2 2

x = - 74.1818182

(x, y) = (-74.1818184, 193.4545455)