Q. 35 graph each equation of the syste... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 11: Q. 35 (page 773)

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 7 x^{2} - 3 y^{2} + 5 = 0 \\ 3 x^{2} + 5 y^{2} = 12 \end{cases}$

Short Answer

Expert verified

The point of intersection is $(\frac{1}{2}, \frac{3}{2}), (- \frac{1}{2}, \frac{3}{2}), (\frac{1}{2}, - \frac{3}{2}), (- \frac{1}{2}, - \frac{3}{2})$ .

Step by step solution

Step 1. Given information

$\{\begin{cases} 7 x^{2} - 3 y^{2} + 5 = 0 \\ 3 x^{2} + 5 y^{2} = 12 \end{cases}$

Step 2. Graphing each equation

$7 x^{2} - 3 y^{2} + 5 = 0$

$3 x^{2} + 5 y^{2} = 12$

Step 3. Calculation of intersection point

$C o n s i d e r, \begin{array}{l} 7 x^{2} - 3 y^{2} + 5 = 0 . . . . . . . (1) \\ 3 x^{2} + 5 y^{2} = 12 . . . . . . . . . . (2) \end{array} M u l t i p l y 5 w i t h e q . 1 a n d 3 w i t h e q . 2 a n d a d d b o t h w e g e t 44 x^{2} = 11 x = 卤 \frac{1}{2} s u b s t i t u t e x = 卤 \frac{1}{2} i n e q . 2 t o g e t y x = 卤 \frac{1}{2} 3 {(\frac{1}{2})}^{2} + 5 y^{2} = 12 y = 卤 \frac{3}{2} x = - \frac{3}{2} 3 (- \frac{1}{2}) + 5 y^{2} = 12 y = 卤 \frac{3}{2}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 7 x^{2} - 3 y^{2} + 5 = 0 \\ 3 x^{2} + 5 y^{2} = 12 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graphing each equation

Step 3. Calculation of intersection point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Calculus

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

91影视

graph each equation of the system. Then solve the system to find the points of intersection.7x2-3y2+5=03x2+5y2=12

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graphing each equation

Step 3. Calculation of intersection point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Statistics

Calculus

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

graph each equation of the system. Then solve the system to find the points of intersection.
$\{\begin{cases} 7 x^{2} - 3 y^{2} + 5 = 0 \\ 3 x^{2} + 5 y^{2} = 12 \end{cases}$