/*! 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. 18 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 18 (page 595)

In the following exercises, solve the following systems of equations by graphing.

x-y=32x-y=4

Short Answer

Expert verified

The solutions to the system of equations arex=1andy=-2

Step by step solution

01

Step 1. Given information.

We have:

x-y=32x-y=4

02

Step 2. Find the intercepts. 

We will find thex-intercept andy-intercept of both equations and use them to graph the lines.

The system of equations are:

x-y=32x-y=4

x-intercept: substitute y=0

x-0=3x=3

X-intercept: 3,0

2x-0=42x=4x=2

X-intercept: 2,0

y-intercept: substitute x=0

0-y=3y=-3

Y-intercept: 0,-3

2(0)-y=4y=-4

Y-intercept:0,-4

03

Step 3. Use the intercept to draw the graph. 

Graph the line and find the intersection point:

The lines intersect at 1,-2.

Therefore, the solutions are:

x=1,y=-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

In the following exercises, translate to a system of equations and solve.

Two angles are complementary. The measure of the larger angle is ten more than four times the measure of the smaller angle. Find the measures of both angles.

Solve the system of equationsx+y=10,x-y=6

(a) by graphing

(b) by substitution

(c) Which method do you prefer? Why?

Determine whether an ordered pair is a solution of a system of equations. In the following exercises, determine if the following points are solutions to the given system of equations.

x+y=1y=25x

(a)57,27

(b)5,2

Determine whether an ordered pair is a solution of a system of equations. In the following exercises, determine if the following points are solutions to the given system of equations.

2x+y=5x+y=1

(a)(4,-3)

(b)(2,0)

In the following exercises, translate to a system of equations and solve.

The difference of two complementary angles is 68 degrees. Find the measures of the angles.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Pure 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.