/*! 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} Problem 106 Write a system of equations havi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Problem 106

Write a system of equations having \(\\{(-2,7)\\}\) as a solution set. (More than one system is possible.)

Short Answer

Expert verified
The system of equations is \(\{y = 7\}, and \(x = -2)\

Step by step solution

01

Write the first equation

One of the simplest equations we can use is the linear equation \(y = mx + b\). Here, if we have the point (-2,7), we can substitute these values into the equation to get 7 = -2m + b. Choosing m and b values to satisfy this equation can give us our first equation in the system. As a simple illustrative choice, let m be 0, b = 7, the equation is \(y = 0*x + 7\), which simplifies to \(y = 7\).
02

Write the second equation

When writing the 2nd equation, we need to make sure it is not parallel to the first one in order not to have an infinite solution. Hence, simply choosing another arbitrary equation like \(x = -2\) will suffice since it's not parallel.

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

When is it easier to use the addition method rather than the substitution method to solve a system of equations?

Will help you prepare for the material covered in the next section. In each exercise, graph the linear function. $$2 x-3 y=6$$

If \(x=3, y=2,\) and \(z=-3,\) does the ordered triple \((x, y, z)\) satisfy the equation \(2 x-y+4 z=-8 ?\)

Let \(f(x)=\left\\{\begin{array}{cll}x+3 & \text { if } & x \geq 5 \\ 8 & \text { if } & x<5\end{array}\right.\) Find \(f(12)-f(-12) .\) (Section 1.3, Example 6)

How do you determine if an ordered pair is a solution of an inequality in two variables, \(x\) and \(y ?\)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

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.