/*! 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. 137 Solve a System of Equations by E... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 137 (page 626)

Solve a System of Equations by Elimination -

3x-4y=-11x-2y=-5

Short Answer

Expert verified

The simplification of Expression will be - (-1,2).

Step by step solution

01

Step 1.  Given Information.

Equation - 3x-4y=-11x-2y=-5

02

Step 2.  To Find

Solve a System of Equations by Elimination and find the value of x and y.

03

Step 3.  Explanation

Equation -

3x-4y=-11x-2y=-5

We can eliminate y's by multiplying the second equation by 2 -

3x-4y=-11(x-2y)脳2=-5脳23x-4y=-112x-4y=-10

04

Step 4.  Calculation

The equation become -

3x-4y=-112x-4y=-10

We Subtract the x's and y's and constants -

localid="1647459173161" 3x-4y=-112x-4y=-10x=-1

Solve for x -

x=-1

Substitute x=-1into the second equationx-2y=-5, Then Solve for y -

x-2y=-5-1-2y=-5-2y=-5+1-2y=-4y=2

Written as (x,y)will be (-1,2).

05

Step 5.  Check the answer

Check that the ordered pair is a solution to both original equations -

Put (-1,2)in the equation -

3x-4y=-113脳(-1)-4脳2=-11-3-8=-11-11=-11

x-2y=-5(-1)-2脳2=-5-1-4=-5-5=-5

The Solution is -(-1,2)

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

Solve a System of Equations by Elimination -

7x+y=-413x+3y=4

Alisha is making an 18ounce coffee beverage that is made from brewed coffee and milk. The number of ounces of brewed coffee is 5times greater than the number of ounces of milk. How many ounces of coffee and how many ounces of milk does Alisha need?

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

The age of Mark鈥檚 dad is 4 less than twice Marks鈥檚 age. The sum of their ages is ninety-five. Find their ages.

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鈭�6y=03x鈭�4y=5

(a)(3,1)

(b)(-3,4)

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

x+y=4x-y=0
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

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.