EXERCISE SET 9.1 S2y3D x = -2y + 7 Зx + 19 18x- 12y 4 18. 1-6x+4y 5 44. 17. X 3= Concept Check %3D 2x + 3y = 29 [3x - 4y = 2 S6x + 7y = -4 1. Is (4, 7) a solution of this system? -5x +2y = -6 20. 12x+5y= 4 19. (4x + 3y = 14 %3D 2. Identify each of the following systems of equations as an ndent system, a dependent system, or as an inconsis- S3x-3y = 5 21. 3x- 4y 8 %3D 22. 14x-4y = 9 16x-8y 9 %3D em. 5x - 11y = 4 b. 2x + 3y = 7 6y = 8 %3D 4x + 3y = 6 5x + 2y = 2 %3D 24. %3D r+ 12y = 10 23. 4 3. %3D 3. y = -2x + 2y = -6 3. A system of two linear equations in two variables has no solution. What does this indicate concerning the relationship using the elimination method. between the graphs of the equations? In Exercises 25 to 42, solve each system of equations by 3x - y = 10 3x + 4y = -5 25. 4x +3y -4 26. x- 5y = -8 %3D 4. The solutions of a dependent system of equations consist of all ordered pairs of the form S4x +7y = 21 27. S 3x-8y = -6 - 5x + 4y = 10 %3D %3D 4. C, -C 5 3 28. 5x -4y = -12 Is (8, 4) a solution of this system? 5х - Зу — 0 10x - 6y = 0 3x+2y 0 30. %3D 29. 2x+3y 0 %3D In Exercises 5 to 24, solve each system of equations by using the substitution method. 3x - y = 4 -6x + 2y = -8 (4x+y= 2 32. 31. [3x- 2y 1 18x+2y = 4 5.

Q: a) How many students are taking Art?

A: the number of students taking Art if given by 6+10=16

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A: Let's Solve,

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A: Recurrence relation.  Partial fraction.

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A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

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A: Rank of Matrix : It is the Number of Non Zero rows in reduced row echelon form.

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A: To integrate.

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A: Given, (3-5)2 + 4(1-5)

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.