/*! 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 88 Explain how to solve a system of... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 88

Explain how to solve a system of equations using the addition method. Use \(3 x+5 y=-2\) and \(2 x+3 y=0\) to illustrate your explanation.

Short Answer

Expert verified
The solution to the system of equations is \(x = 6\) and \(y = -4\).

Step by step solution

01

Multiply the equations to make coefficients of y's (or x's) the same

Multiply the first equation by 3 and the second equation by 5. This will result in the new system of equations: \(9x + 15y = -6\) and \(10x + 15y = 0\)
02

Subtract the equations

Subtract the second equation from the first equation to eliminate y: \( (9x - 10x) + (15y - 15y) = -6 - 0\). This results in \(-x = -6.\)
03

Solve for x

To isolate x, multiply both sides of the equation by -1 resulting in \(x = 6\).
04

Substitute x into one of the original equations and solve for y

Substitute \(x = 6\) into the second original equation: \(2*6 + 3y = 0\), this simplifies to \(12 + 3y = 0\). After rearranging, we get \(3y = -12.\) To solve for y, divide both sides by 3 to obtain \(y = -4\).

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

write the partial fraction decomposition of each rational expression. $$ \frac{4 x^{2}-7 x-3}{x^{3}-x} $$

write the partial fraction decomposition of each rational expression. $$ \frac{9 x+2}{(x-2)\left(x^{2}+2 x+2\right)} $$

Solve: $$\left\\{\begin{array}{r} A+B=3 \\ 2 A-2 B+C=17 \\ 4 A-2 C=14 \end{array}\right.$$

Suppose that you inherit 10,000 dollar. The will states how you must invest the money. Some (or all) of the money must be invested in stocks and bonds. The requirements are that at least 3000 dollar be invested in bonds, with expected returns of 0.08 dollar per dollar, and at least 2000 dollar be invested in stocks, with expected returns of 0.12 dollar per dollar. Because the stocks are medium risk, the final stipulation requires that the investment in bonds should never be less than the investment in stocks. How should the money be invested so as to maximize your expected returns?

write the partial fraction decomposition of each rational expression. $$ \frac{x^{2}-6 x+3}{(x-2)^{3}} $$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.