/*! 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} Q2. CYU Determine whether each equation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q2. CYU (page 157)

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

鈭�2x鈭�3=y

Short Answer

Expert verified

Yes, the given equation鈭�2x鈭�3=y is a linear equation and the given equation鈭�2x鈭�3=y in standard form is 2x+y=鈭�3.

Step by step solution

01

Step 1. Determine whether the given equation is a linear equation.

A linear equation is an equation that forms a line when it is graphed. Linear equations are written in the form Ax+By=C, where A and B are not both zero and A, B and C are integers with greatest common factor of 1.

The given equation is 鈭�2x鈭�3=y.

The given equation can be written as:

鈭�2x鈭�3=y鈭�3=2x+y

Therefore, by comparing the given equation 2x+y=鈭�3with the equation Ax+By=C, it can be noticed that:

A=2,B=1and C=鈭�3.

As, the equation鈭�2x鈭�3=y can be written in the form Ax+By=C.

Therefore, yes, the given equation鈭�2x鈭�3=y is a linear equation.

02

Step 2. Write the given equation in standard form.

The given equation is 鈭�2x鈭�3=y.

The standard form of the linear equation is Ax+By=C.

The given equation in standard form is:

2x+y=鈭�3

Where, A=2,B=1and C=鈭�3.

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

Suppose yvaries directly as x. Write a direct variation equation that relates x and y. Then solve.

Ify=鈭�6 when x=9, find x when y=鈭�3.

Find the x- and y- intercepts of the graph.

F x-intercept is 0; y- intercept is 150.

G x-intercept is 150; y- intercept is 0.

H x-intercept is 150; no y- intercept.

J No x-intercept; y- intercept is 150.

Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form.

y=鈭�4x+3

The graph shows the population growth in Leesburg, Florida, since 2000.

  1. For which time period is the rate of change the greatest?
  2. Explain the meaning of the slope from 2000 to 2006.

The function y=鈭�15+3x represents the outside temperature, in degrees Fahrenheit, in a small Alaskan town where x represents the number of hours after midnight. The function is accurate for x values representing midnight through 4:00 PM. Find the zero of this function.

A 0

B 3

C 5

D鈭�15
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Mechanics 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.