Q. 429 Solve the equation 5x鈭�2y聽10聽... [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. 429 (page 274)

Solve the equation $5 x 鈭� 2 y 10$ for x鈸� when y = 10鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Expert verified

$a . Thesimplifiedvalueis x = 6$

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

B method is easier to solve it required less step .

Step by step solution

Step 1. Given

The given equation is $5 x 鈭� 2 y = 10$

We have to solve forx鈸� when y = 10鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Step 2. Explanation

$\begin{array}{l} Solve: 5 x 鈭� 2 y = 10 \\ 鈬� 5 x 鈭� 2 (10) = 10 (Subsitutey=10) \\ 鈬� 5 x 鈭� 20 = 10 (Simplify) \\ 鈬� 5 x 鈭� 20 + 20 = 10 + 20 (Add20tobothsides) \\ 鈬� 5 x = 30 (Simplify) \\ 鈬� \frac{5 x}{5} = \frac{30}{5} (Dividebothsideby5) \\ 鈬� x = 6 (Simplify) \\ Thesimplifiedvalueis x = 6 \end{array}$

Part b. Step 3. Explanation

$\begin{array}{l} Ingeneral \\ 鈬� 2 x + 3 y = 6 \\ 鈬� 2 x + 3 y 鈭� 3 y = 6 鈭� 3 y (Subtract3ytoisolatex) \\ 鈬� 2 x = 6 鈭� 3 y (Simplify) \\ 鈬� \frac{2 x}{2} = \frac{6 鈭� 3 y}{2} (Dividebothsidesby2) \\ 鈬� x = \frac{6 鈭� 3 y}{2} (Simplify) \\ Thegeneralfromis x = \frac{6 鈭� 3 y}{2} \end{array}$

Part c. Step 4 Explanation

B method is easier to solve it required less step .

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91影视

Solve the equation $5 x 鈭� 2 y 10$ for x鈸� when y = 10鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Step by step solution

Step 1. Given

Step 2. Explanation

Part b. Step 3. Explanation

Part c. Step 4 Explanation

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91影视

Solve the equation 5x鈭�2y10for x鈸� when y = 10鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?

Short Answer

Step by step solution

Step 1. Given

Step 2. Explanation

Part b. Step 3. Explanation

Part c. Step 4 Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Calculus

Pure Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve the equation $5 x 鈭� 2 y 10$ for x鈸� when y = 10鈸� in general 鈸� Which solution is easier for you, 鈸� or 鈸�? Why?