Q. 396 In the following exercises, solv... [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. 396 (page 683)

In the following exercises, solve each system of equations. Use either substitution or elimination.
$4 x 鈭� 3 y = 7 5 x 鈭� 2 y = 0$

Short Answer

Expert verified

The solution set is $(\frac{14}{23}, - \frac{105}{69})$ .

Step by step solution

Step 1. Given Information

In the given exercises we have to solve given system of equations using either substitution or elimination method.

$4 x 鈭� 3 y = 7 5 x 鈭� 2 y = 0$

Step 2. 4x−3y=7………………Equation 15x−2y=0………………Equation 2

Using elimination method to solve the equation.

Multiply Equation 1 by $2$ .

role="math" localid="1647882895912" $2 (4 x 鈭� 3 y) = 7 脳 2 8 x - 6 y = 14 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� Equation 3$

Step 3. Multiply Equation 2 by 3.

$3 (5 x 鈭� 2 y) = 0 脳 3 15 x - 6 y = 0 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� 鈥� Equation 4$

Step 4. Add Equation 3 and Equation 4 to eliminate y.

$8 x - 6 y + 15 x - 6 y = 14 + 0 23 x = 14 Divide by 23 on both side \frac{23}{23} x = \frac{14}{23} x = \frac{14}{23}$

Step 5. Putting the value of x in the Equation 1

$4 脳 \frac{14}{23} 鈭� 3 y = 7 \frac{56}{23} - 3 y = 7 Subtract \frac{56}{23} on both side \frac{56}{23} - 3 y - \frac{56}{23} = 7 - \frac{56}{23} - 3 y = 7 脳 \frac{23}{23} - \frac{56}{23} - 3 y = \frac{161}{23} - \frac{56}{23} - 3 y = \frac{161 - 56}{23} - 3 y = \frac{105}{23} \frac{- 3}{- 3} y = \frac{1}{- 3} 脳 \frac{105}{23} y = - \frac{105}{69}$

The solution set is $(\frac{14}{23}, - \frac{105}{69})$

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91影视

In the following exercises, solve each system of equations. Use either substitution or elimination.
$4 x 鈭� 3 y = 7 5 x 鈭� 2 y = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. 4x−3y=7………………Equation 15x−2y=0………………Equation 2

Step 3. Multiply Equation 2 by 3.

Step 4. Add Equation 3 and Equation 4 to eliminate y.

Step 5. Putting the value of x in the Equation 1

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91影视

In the following exercises, solve each system of equations. Use either substitution or elimination.4x鈭�3y=75x鈭�2y=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. 4x−3y=7………………Equation 15x−2y=0………………Equation 2

Step 3. Multiply Equation 2 by 3.

Step 4. Add Equation 3 and Equation 4 to eliminate y.

Step 5. Putting the value of x in the Equation 1

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Applied Mathematics

Mechanics Maths

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each system of equations. Use either substitution or elimination.
$4 x 鈭� 3 y = 7 5 x 鈭� 2 y = 0$