Question: Given the linear system 3x + 4y = s 6x + Sy = t, (a) Determine particular values for s and t so that the

Given the linear system
3x + 4y = s
6x + Sy = t,
(a) Determine particular values for s and t so that the system is consistent.
(b) Determine particular values for 51 and t so that the system is inconsistent.
(c) What relationship between the values of s and t will guarantee that the system is consistent?

Step by Step Solution

★★★★★

3.43 Rating (185 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a For example s 0 ... 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

Document Format (1 attachment)

951-M-L-A-L-S (6751).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Given the linear system x 1 x 2 + x 3 = 2, x 1 + 2x 2 x 3 = 3, x 1 + x 2 + x 3 = 2. a. Find value(s) of for which the system has no solutions. b. Find value(s) of for which the system has an...

Given the linear system 2x 1 6x 2 = 3, 3x 1 x 2 = 3/2 a. Find value(s) of for which the system has no solutions. b. Find value(s) of for which the system has an infinite number of solutions. c....

Solve the linear system 3x + 2y = 1 x + 4y = 2 Z5 "

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

(1 point) Which of the following matrices are in reduced row echelon form? Select all correct answers. C1220032 A.001014 000123 000000 C1120032 I3001014 '000123 000000 C10001 c.0101 0011 0000 D1000...

\f\f3. a) potential function = x2 +y 2 +z 2 ; magnetic force M = y 2 zi+z 2 xj+x2 yk i) Grad = i+ j+ k x y z Note that : = 2x = 2y = 2z x y z Hence, Grad = 2xi + 2yj + 2zk M M M ii) Div M = + + x y z...

Please provide solutions. Thanks. 1. Which of the following is true about the system of linear equations in two variables? 10. Which of the following equations can be paired with 3x - Zy = 5 to make...

Chapter 7 (Section 7.1) from the textbook is the following: Textbook is Blitzer, thinking mathematically, Eight Edition. Section 7.1 (Page 424, Textbook): 5,11,15,21,23,25,27,29,31,33,35,37,39,41,43...

9:51 0 Done mylab.pearson.com AA C HW Score: 6.48%, 1.3 of 20 Question 1, 8.2.11 points Points: 0 of 1 Save Write the augmented matrix of the given system of equations. 0.09x - 0.08y = 0.06 0.23x +...

Please use attached file 1. ?/1 pointsBerrFinMath1 3.1.001. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the...

We want to examine the fraction of the population that supports a new tax law. We survey 50 people. Perform a hypothesis test of H_0: p = 0.2 against H_A: p = 0.3 for alpha = 0.01 to determine the...

The package of Sylvania CFL 65-watt replacement bulbs that use only 16 watts claims that these bulbs have an average life of 8000 hours. Assume that the lives of all such bulbs have a normal...

Question content area top Part 1 A taxpayer's tax year must coincide with the year used to keep the taxpayer's books and records. Question content area bottom Part 1 True False

Use the data in ANMACRO.XLS and statistical software to run a regression where the demand for money (m2 ) is explained by a constant term, income (ngdp), interest rates (aaa), and prices (cpi). (A)...

Which of the following are linear equations in x1, x2 and x3? (a) x1 + 3x2 + x1x3 = 2 (b) x1-2 + x2 + 8x3 = 5 (c) x13/5 - 2x2 + x3 = 4

For which value(s) of the constant k does the system x - y = 3 2x - 2y = k

The curve y = ax2 + hx + c shown in the accompanying figure passes through the points (x1, y2), (x3, y3), and (x1, y3). Show that the coefficients a, b. and c are a solution of the system of linear...

nthly loan payments Personal Finance Problem Tim Smith is shopping for a nedry carHe has found the priced at $37.000. The dealer histol Toti he can come up with a down payment of 56.100 the dealur a...

plz solve my id is 42310 W The management of a chain electronic store would like to develop a model for predicting the weekly sales (in thousands of dollars) for individual stores based on the number...

As another model, NBA ball players who are typically dependable free toss shooters are regularly burdened with a standing of "gagging" while missing a couple of free tosses, particularly when a lot...