Q. 428 Solve the equation 2x+3y=6聽for ... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 2: Q. 428 (page 274)

Solve the equation $2 x + 3 y = 6$ for y鈸� when x = 鈭�3鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Expert verified

$a . Thesimplifiedvalueis y = 4$

$b . Thegeneralfromis y = \frac{6 鈭� 2 x}{3}$

$c . bmethodiseasiertosolvesinceitrequiredlessstep$

Step by step solution

Step 1. Given information

The given equation is $2 x + 3 y = 6$

We have to solve fory鈸� when x = 鈭�3鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Step 2. Explanation

$\begin{array}{l} Solve: 2 x + 3 y = 6 \\ 鈬� 2 (鈭� 3) + 3 y = 6 (Subsitutex=-3) \\ 鈬� 鈭� 6 + 3 y = 6 (Simplify) \\ 鈬� 鈭� 6 + 6 + 3 y = 6 + 6 (Add6tobothsides) \\ 鈬� 3 y = 12 \\ 鈬� \frac{3 y}{3} = \frac{12}{3} (Dividebothsideby3) \\ 鈬� y = 4 (Simplify) \\ Thesimplifiedvalueis y = 4 \end{array}$

Part b. Step 3. Explanation

$\begin{array}{l} Ingeneral \\ 鈬� 2 x + 3 y = 6 \\ 鈬� 2 x 鈭� 2 x + 3 y = 6 鈭� 2 x (Subtract2xtoisolatey) \\ 鈬� 3 y = 6 鈭� 2 x (Simplify) \\ 鈬� \frac{3 y}{3} = \frac{6 鈭� 2 x}{3} (Dividebothsidesby3) \\ 鈬� y = \frac{6 鈭� 2 x}{3} (Simplify) \\ Thegeneralfromis y = \frac{6 鈭� 2 x}{3} \end{array}$

Part c. Step 4.

$bmethodiseasiertosolvesinceitrequiredlessstep$

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91影视

Solve the equation $2 x + 3 y = 6$ for y鈸� when x = 鈭�3鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

Part b. Step 3. Explanation

Part c. Step 4.

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91影视

Solve the equation 2x+3y=6for y鈸� when x = 鈭�3鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

Part b. Step 3. Explanation

Part c. Step 4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Probability and Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Solve the equation $2 x + 3 y = 6$ for y鈸� when x = 鈭�3鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?