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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 683 (page 575)

Which of the given ordered
pairs are solutions to the equation
$3 x - y = 6 ? (a) (3, 3) (b) (2, 0) (c) (4, - 6)$

Short Answer

Expert verified

The solution to the equation $3 x - y = 6$ is $(3, 3) a n d (2, 0)$

Step by step solution

01

Step 1. Given Information

The given equation is $3 x - y = 6$

02

Step 2. substitute given ordered pairs in equation

$L e t (x, y) = (3, 3) 3 (3) - 3 = 6 9 - 3 = 6 6 = 6$

so $(3, 3)$ is the solution to given equation

03

Step 3. Let x, y=2, 0

$3 (2) - 0 = 6 6 - 0 = 6 6 = 6$

so $(2, 0)$ is solution to given equation

04

Step 4. Let x,y=4, -6

$3 (4) - (- 6) = 6 12 + 6 = 6 18 = 6$

False $(4, - 6)$ is not solution to given equation

05

Step 5. The solution

The solutions to the equation $3 x - y = 6$ are

$(3, 3) a n d (2, 0)$

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