/*! 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. 57 In the following exercises, for ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 57 (page 451)

In the following exercises, for each ordered pair, decide:

鈸 Is the ordered pair a solution to the equation?

鈸 Is the point on the line?

y=12x鈭3鈸(0,鈭3)鈸(2,鈭2)鈸(鈭2,鈭4)鈸(4,1)

Short Answer

Expert verified

(a) The point (0,鈭3),(2,鈭2),(鈭2,鈭4)is a solution and point (4,1)is not a solution.

(b)

Step by step solution

01

Step 1. Given Information

In the given exercises, for each ordered pair, we have to decide:

鈸 Is the ordered pair a solution to the equation?

鈸 Is the point on the line?

y=12x鈭3鈸(0,鈭3)鈸(2,鈭2)鈸(鈭2,鈭4)鈸(4,1)

02

Part (a) Step 1. Substitute the x- and y- values into the equation to check if the ordered pair is a solution to the equation. 

The given equation isy=12x鈭3

03

Part (a) Step 2. The first number of the coordinate pair is the x-coordinate, and the second number is the y-coordinate. 

鈸(0,鈭3)鈸(2,鈭2)鈸(鈭2,鈭4)鈸(4,1)y=12x鈭3y=12x鈭3y=12x鈭3y=12x鈭3鈭3=12脳0鈭3鈭2=12脳2鈭3鈭4=12脳鈭2鈭31=12脳4鈭3鈭3=0鈭3鈭2=1鈭3鈭4=-1鈭31=2鈭3鈭3=-3鈭2=鈭2鈭4=鈭41鈮-1

Points (0,鈭3),(2,鈭2),(鈭2,鈭4)is solution and point (4,1)is not a solution.

04

Part (b) Step 1. Plot the points ⓐ (0,−3) ⓑ (2,−2) ⓒ (−2,−4) ⓓ (4,1)

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, name the ordered pair of each point shown in the rectangular coordinate system :

In the following exercises, which ordered pairs are solutions to the given equation :

y=4x+3

(a) (4,3)(b)(-1,-1)(c)12,5

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located: 鈸 (鈭4,1)鈸 (鈭2,3)鈸 (2,鈭5)鈸 (鈭2,5) 鈸(-3,52)

In the following exercises, plot each point in a rectangular coordinate system.

7. 鈸 (0,0) 鈸 (0,鈭3)鈸 (鈭4,0) 鈸 (1,0) 鈸 (0,鈭2)

Which of the following ordered pairs are solutions to the equationy=-2x+6?

(a)(0,6)(b)(1,4)(c)(-2,-2)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Discrete 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.