Find any ordered pairs that are solutions of the following system of linear equa

Question

Find any ordered pairs that are solutions of the following system of linear equations {2x - 3y = 4 7x - 6y = 6 Find any solutions of the following system of linear equations. If system has no solutions or more than one solution, express the solution set in set - builder notation. {x - 2y + 4z = 6 x + y + 13z = 6 -2x + 6y -z = -10 Find a 2 x 2 matrix X such that X - ZA = B, where A = (1 0 2 -4), B = (2 6 4 8). Let U = (-2, -1, 0 1, 2, 3, 4, 5, 6, 7, 8) be a universal set for the sets A = {-2, 0, 2, 4, 6, 8} and B = {0, 1, 2, 3, 4, 5}. Find the sets A' intersection B and union A'. A 4 - H club member raises goats and pigs for a class project. She wants to raise no more than 16 animals, including no more than 10 goats. She spends $25 to raise one goat and $75 to raise one pig, and she has a total of $900 available to spend on the project. At the end of the project she is able to sell the livestock making a profit of $14 for each goat and $40 for each pig. How many of each animal should she raise to maximize profit What is the maximum profit she will make

Explanation / Answer

10)

2x-3y =4---->(1)

7x-6y=6----->(2)

multiply (1) by 2

4x-6y =8--->(3)

subtract (2) from (3)

4x-6y -7x +6y=8-6

-3x=2

x=-2/3

2x-3y =4

2(-2/3)-3y =4

-3y =4+(4/3)

-3y =16/3

y =-16/9

(x,y)=(-2/3,-16/9) is the solution

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