Q 95. Solve the system of equation聽4x... [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 5: Q 95. (page 611)

Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution

Short Answer

Expert verified

The soluion is $(0.5, 3)$ .

Step by step solution

Step 1. Given information

The given equations are:

$4 x + 2 y = 8 鈰� 鈰� (1)$

$8 x - y = 1 鈰� 鈰� (2)$

Step 2. Substitute value of y from equation 2 in equation 1

From equation $(2)$ $y = 8 x - 1$

Substitute in equation $(1)$

$鈬� 4 x + 2 (8 x - 1) = 8$

Step 3. Solve for x

$鈬� 4 x + 16 x - 2 = 8$

$鈬� 20 x = 10$

$鈬� x = \frac{10}{20}$

$鈬� x = 0.5$

Step 4. Substitute value of x from step 3 in equation 1

$鈬� 4 (0.5) + 2 y = 8$

$鈬� 2 + 2 y = 8$

$鈬� 2 y = 6$

$鈬� y = 3$

Step 5. Checking solution

Now we have $x = 0.5$ and $y = 3$

Put these values in equation $(1)$

localid="1649345126722" $鈬� 4 (0.5) + 2 (3) = 8$

$鈬� 8 = 8$

Also put these values in equation $(2)$

$鈬� 8 (0.5) - 3 = 1$

$鈬� 1 = 1$

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91影视

Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute value of y from equation 2 in equation 1

Step 3. Solve for x

Step 4. Substitute value of x from step 3 in equation 1

Step 5. Checking solution

One App. One Place for Learning.

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91影视

Solve the system of equation4x+2y=88x-y=1by substitution

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute value of y from equation 2 in equation 1

Step 3. Solve for x

Step 4. Substitute value of x from step 3 in equation 1

Step 5. Checking solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the system of equation $\{\begin{cases} 4 x + 2 y = 8 \\ 8 x - y = 1 \end{cases}$ by substitution