Question: In Example 2, interchange the two equations and then solve the system with the equations in this order. Data from Example 2 Solve the following

In Example 2, interchange the two equations and then solve the system with the equations in this order.

Data from Example 2

Solve the following system of equations using Gaussian elimination:

2x + y = 4 3x-2y = 3

The steps are given below, with the necessary row operations shown in red:

To find the value of x, we substitute y = 6/7 into the first equation: x + 1/2 (6/7) = 2 or x = 11/7. Thus, the solution is x + 11/7, y = 6/7 which checks when substituted into the original equations.

2x + y = 4 3x-2y = 3

Step by Step Solution

★★★★★

3.27 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

If we interchange the two equations the system becomes 3x 2y 32x y ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

In this problem we use techniques from matrix algebra to calculate the least squares regression line described way back in Chapter 2 (please see pp. 89-91 and class notes). We explore this in a...

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Equation (10.2) can be written as a system of two equations: v11 + rv12 = 1v11 rv11 + v12 = 1v12 Where r = r12 = 0.97135 is the correlation between x1 and x2. Find the first eigenvector, v1, by...

BUSM Consider a household whose utility is determined by its consumption in periods 0 and 1. Let c0 and c1 denote the consumption in periods 0 and 1, respectively. The utility of this household can...

Module 4 Gauss-Jordan Elimination and Sequences 1 A. Applications of Matrices (Unique Solution) Solving a System of Linear Equations Using Gauss-Jordan Elimination Critical Thinking, Communication...

Activity 3: A vehicle accelerates from rest, and its speed is approximated by the following function: v(t) = 0.1 t e 30/ Ve2+50 meters/second, where t is in seconds (a) Determine the travelled...

please solve using matlab. i included the slides referenced in the problem 1. (25 Points) Gaussian Elimination. Solve the system of equations below as presented in Lecture 3 (see slides) using the...

1 Heisenberg Uncertainty Principle - Groups C & D In this class, we will use the Heisenberg uncertainty principle fairly approximately, which we will follow here. The strict definition is that Ar and...

This are the assino. the question is complete. 2. Suppose a country has a money demand function: (M/P)d = kY, where k is a constant parameter Let's assume that the Money Supply grows by 10%/year and...

need answers 2. Suppose a country has a money demand function: (M/P)d = kY, where k is a constant parameter Let's assume that the Money Supply grows by 10%/year and Real Income grows by 3%/year. a)...

Harry Company sold 10,000 shares of Potter Co. common stock for $27.50 per share, incurring $1,770 in brokerage commissions. These securities were classified as trading and originally cost $260,000....

Use the following tax rates and taxable wage bases: Employees' and Employer's OASDI6.2% both on $118,500; HI1.45% for employees and employers on the total wages paid. Employees' Supplemental HI of...

Is the process of recording business transactions in the journals and ledgers of a business entity

Have you encountered a gender role or behavior that was culturally different than yours? How did you feel? What did you think? What were the origins of that gender role?

The legs of a picnic table form an isosceles triangle as indicated in the figure. If mABC = 80, determine mx and my so that the top of the table will be parallel to the ground. , 80

A triangle can be formed by drawing line segments on a map of Minnesota connecting the cities of Austin, Rochester, and St. Paul (see figure below). If the actual distance from Austin to Rochester is...

A triangle can be formed by drawing line segments on a map of Illinois connecting the cities of Rockford, Chicago, and Bloomington (see figure below). If the actual distance from Chicago to Rockford...

inventory turnover ratio for tiger brands for ended 30 September 2017

QUESTION 8 SECTION 2 Consider the following Balance Sheet and Income Statement information: Balance Sheet Information Cash Accounts Receivable Rent Receivable Interest Receivable Inventory Prepaid...

Huey Company acquires 100% of the stock of Solar Corporation on January 1, 2019, for $2,400,000 cash. As of that date Solar had the following account balances: Book Value Fair value Cash $630,000...