/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 346 Solve the nonlinear system of eq... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 346 (page 1160)

Solve the nonlinear system of equations using substitution:

x2+y2=8y=-x-4

Short Answer

Expert verified

The type of graph for the given equations are circle and line.

Step by step solution

01

Step 1. Given Information

Given that the equation isx2+y2=8y=-x-4.

02

Step 2. Form of the equation

In the first equation, there is same coefficient of x2andy2.When a linear equation have two variable and it is line. The solution of x2+y2=8is circle and y=-x-4is line. On comparing the equation with the standard form,

(x-0)2+(y-0)2=22 h=0,k=0y=-x-4m=-1,b=-4(h,k)=(0,0)

The standard form ofx2+y2=8is(x-0)2+(y-0)2=22andy=-x-4isy=-x-4.

03

Step 3. Graph

On drawing the graph,

04

Step 4. Solution

The circle and line intersected at (-2,2) . On verifying the point in the equation by substitution,

x2+y2=8(-2)2+(-2)2=8 8=8y=-2x-1-2=-2(-2)-4-2=-2

It satisfies both the equation. Hence, the solution is (-2,2).

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

Most popular questions from this chapter

Divide:2+4i5i

Multiply : (a)4x2(2x2-3x+5)

(b)-6a3b(3a2-2ab+6b2)

In the following exercise, factor using substitution.

(x鈭�3)2鈭�5(x鈭�3)鈭�36

In the following exercises, factor each trinomial of the form

x2+bx+cx2-12-11x

In the following exercises,simplify

(a)r52.r-12r-32(b)36s15t-32s-95.t12
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.