Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 5: Q. 391 (page 683)

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10$
$鈸� (0, 2) 鈸� (4, 3)$

Short Answer

Expert verified

(a) $(0, 2)$ is a solution.

(b) $(4, 3)$ is not a solution.

Step by step solution

Step 1. Given Information

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10$

$鈸� (0, 2) 鈸� (4, 3)$

Part (a) Step 1. We substitute x=0 and y=2 into both equation.

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10 0 鈭� 4 脳 2 = 鈭� 8 2 脳 0 + 5 脳 2 = 10 鈭� 8 = 鈭� 8 0 + 10 = 10 鈭� 8 = 鈭� 8 10 = 10$

$(0, 2)$ make both equations true. $(0, 2)$ is a solution.

Part (b) Step 1. We substitute x=4 and y=3 into both equation.

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10 4 鈭� 4 脳 3 = 鈭� 8 2 脳 4 + 5 脳 3 = 10 4 鈭� 12 = 鈭� 8 8 + 15 = 10 鈭� 8 = 鈭� 8 23 鈮� 10$

$(4, 3)$ does not make both equations true. $(4, 3)$ is not a solution.

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91影视

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10$
$鈸� (0, 2) 鈸� (4, 3)$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. We substitute x=0 and y=2 into both equation.

Part (b) Step 1. We substitute x=4 and y=3 into both equation.

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91影视

x鈭�4y=鈭�82x+5y=10鈸�(0,2)鈸�(4,3)

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. We substitute x=0 and y=2 into both equation.

Part (b) Step 1. We substitute x=4 and y=3 into both equation.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

$x 鈭� 4 y = 鈭� 8 2 x + 5 y = 10$
$鈸� (0, 2) 鈸� (4, 3)$