4. Apply the test of rank to examine if the system of equations is consistent. Find the solutionif it is consistent.x+y+z = -33x + y2z = -22x+4y +7z=7

4. Given that the system of equations To find…

Answered: . Apply the test of rank to examine if…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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3. Mrs. Freeman wants to join a DVD rental service. There are two options. Movie mania offers a monthly rate of $10 plus $1.50 per DVD rental. Film Fans costs $2.50 per DVD rental. Let x represent Mrs. Freeman's makes and y represent the cost of the plan during the month. a. Write the systems of equations that could be used to choose a DVD rental service? b. Solve the systems of equations by graphing. 10 8 2 -10 -8 -6 -4-2 2 -2 6 8 10 4. -4 -6 -8 10 4.
4. 9 An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation. Peyton thinks that small sundaes cost $2.75 and large sundaes cost $6.75. Is Peyton correct? Justify your answer. Using your equations, determine algebraically the cost of one small sundae and the cost of one large sundae.
2. Solve the system of linear equation as follows: 2x1 + x2 4.x1 + 5x2 – 3x3 + 6x4 -2x1 + 5x2 – 2x3 + 6x4 4.x1+ 11x2 – 4.x3 + 8x4 x3 + 2x4 %3D 9 4 -
Of your portfolio consisting of ordinary shares(x) and preferred shares (y), 20% of the total are preferred shares, and there are 15 more ordinary shares than preferred shares. 1. translate the statement into one or more linear equations.
Is the following system of equations consistent: 2y -4y + 3x + X 8z = -z = 7 2 6

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. Apply the test of rank to examine if the system of equations is consistent. Find the solution if it is consistent.