1. Which of the following is the intersection point of the system of equations that contains the equations, -9x + twelve y = fifteen and X – six y = - twenty-five: A) (5, 13) B) (7, 3) C) (3,-7) D) (5, 5)

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Q: The figure on the right shows the intersections of four one-way streets. Complete parts (a) through…

A: Please see the below picture for detailed solution.

Q: 1. What is the solution in the system 2x – 3y = -1 and x + 5y = 6? A. (1, 1) B. (6, 0) C. (4, 3) D.…

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Q: Consider a set of 2 tanks of water with 800 gal and 500 gal in each originally; liquid enters the…

A: To write a system of equations that models the given system.

Q: Match each system of equations with the description of its solutions. 3x-9y+ 12z = -6 no solution а.…

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Q: 1.) Determine without graphing whether the system of equations has exactly one solution, no…

A: Topic = Coordinate geometry no solution   Since parallel lines never cross, then there can be no…

Q: 1. Determine if the given ordered triple satisfies the system of linear equations. 2x- y+2z 8…

A: Please refer the attached image for complete solution.

Q: Find an equation relating a, b,and c so that the linear system2x + 2 y + 3z = a 3x − y + 5z = b x −…

A: Given:           Linear system          2x + 2y + 3z = a3x - y + 5z = bx - 3y + 2z = c To find:…

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Q: 17. What is the solution set to the following system x+y= 5 x² +y? = 25 %3D (0,-5), (-5, 0) O (0,…

A: given x+y=5 ....(1)and   x2+y2=25...(2)from (1)   x+y=5⇒y=5-x ...(3)

Q: Which of the following is the solution set of the given system of equations below (1) xy = 24 (2)…

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Q: 10 8. 6. 4 -10 -8 -6 -2 4 6. 10 -4 -6 -8 -10

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Q: If a, b, c are real numbers and b different from 0, find the relationships between a, b, c and the…

A: Answer

Q: 1 1 y = 10 4 - 1 1 = 19 8. 8. Which ordered pair (x, y) satisfies the system of equations above?

A: Consider the equation: 12x-14y=10……118x-18y=19……2

Q: Is \left(1,3\right)(1,3) a solution to this system of equations? ​ ​ 4x+5y=19\newline…

A: Yes (1,3) is the solution of system of equation

Q: 5) A condition on a b. in order for the system and 1 -3 a +b 3. a -b to be consistent is ......

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Q: Determine which is the solution of the system. -3x + y+ z = -4 -x + 2y – 2z = 1 2x – y – z = -1 %3D…

A: The given system of equations is                                                  -3x+y+z=-4…

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A: We construct a system for the given information by considering variables x, y and z.

Q: 20 Is (4,1) a solution to the system of equations below? x + 2y = 5 -2x + 3y = -3 %3D

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Q: Which set of points (x, y, z), represents the solution to the system of equations below? 5z = 2y 4y…

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Q: 3. What is the solution to a system with parallel lines?

A: As parrallel lines never cross ,and there is no interaction between them

Q: Match each system of equation to the description of its solutions. 3x-9y+6z 15 2r-6y +4z 10 a.…

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Q: Find an equation relating a, b, and c so that the linear system 2x + 2y + 3z = a 3x − y + 5z = b x −…

A: 2x+2y+3z=a3x-y+5z=bx-3y+2z=c The augmented matrix is, 2  2  3a3-1  5b1-3  2c Apply R1→R1-R3, we get…

Q: What is/are the solution(s) to the system y = x2+4, y = -x2+4 and y=x+4? %3D O no correct answer O…

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A: Topic = linear equations To find the point which satisfy the linear system, put that point in given…

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A: Consistent system of equations: A system of equations is said to be consistent if the system have at…

Q: Which set of points (x, y, z), represents the solution to the system of equations below? 5z = 2y 4y…

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Q: Is (1,4) a solution to the system: y=3​x+1 y=−x+5

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A: We have to find the distance between two points.

Q: Find all a, b ∈ (−∞,∞) such that the following system of equations inconsistent. x + 2y − 3z = 4 3x…

A: See attached file for a step by step explanation.

Q: 3. Consider the system of linear equations Az 5, where A (a) Determine A- (b) Use A-! to find z in…

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Q: If x, y and z satisfy the system of equations below: 5а — у + 2х = 0 - -5x + 2y – 2z 1 5а — у + 52 3…

A: The objective is to find solution to the given system of equations

Q: 3z – 4y + 2z = -19 (1) 2x + 4y +z = 20 (2) 2x + 3y + 5z = 23 (3) Enter the exact answer as an…

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Q: Determine all the ordered triples (r, y, 2) that are solutions to following system of linear…

A: Given:- x- y + z = 0 2x-3y -z= -27 4x+6y-2z=-18   To find:- Solution of system of equation  Method:-…

Q: Determine which of the points (-3, –4, -6), (– 3,4, 5) satisfy the linear system 2x1 8x2 2x3 -48…

A: In this question, the concept of matrix multiplication is applied. Matrix Multiplication Matrix…

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Q: 1. Consider the linear system x+ y+ z = 2 r+ 2y + z = b -r+ 2y + az = 1 (a) For which values of a…

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Q: 30. What value of b will make the system y 3x + 2 and y 3.5x+b intersect at the point (2, 8)?

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Q: 7. Classify the system of equations. Sy = 2z – 4 ltv == - 2

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Q: If a system of two linear equations has infinitely many solutions, which of the following statements…

A: Given: A system  of two linear equation  has infinite  many solutions

Q: If x, y, z E Z, find all ordered triplets (x, y, z) that satisfy the system of equations:

A: We have to find out the all ordered triples that satisfy the given system. The given system of…

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Q: 4, 3) b. (−2, 4) c. (−10, −1) d. (0, 0) 3. {x − 5y ≥0 2x − y ≤ 0 a. (−3, −8) b. (0, 0) c. (4,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.