5. The equations below are linear equations of a system where a, b, and c are positive integers. ay + bx = c ay - bx = c Which of the following describes the graphs of at least such system of equations in the standard (x,y) coordinate plane? 2 parallel lines 2 intersecting lines A single line 1. 2. 3. A. 1 only В. 2 only С. 3 only D. 1 or 2 only 1,2 or 3 only E.

Q: 2. Which of the following is an example of a nonlinear system of equations? 5x + 6y = 13 6x – 12y =…

A:

Q: Discuss the solutions of the following system of linear equations with respect to parameters λ, μ in…

A: The given equations are, 2x + 3y + 5z = 9 ................. (1) 7x + 3y - 2z = 8 .................…

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

A: Solutions to a system of equation means that the value of variables such that the left hand side of…

Q: Which of the following represents a system of linear equations. z =6+x Il 3.1x = 3.81-4.82z II 2xz…

A: (I) , (II) and (IV) represents a system of linear equations. So, options (A), (B) & (D) are…

Q: 9. Which of the following points are solutions to the system? (12, 2, -2), (4, 2, 1), (1, 1, 1) -x -…

A:

Q: 3 A wine producer has three wine varieties at various alcohol concentrations. varitey B has 20%…

A: A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10%…

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.…

A:

Q: 2) Describe the set of solutions to this system of linear equations: w+x +z-0 +y+z= x+y -1 +2-1

A: The given linear system of equations: w + x + z=0     -    equation 1 w + y + z=1     -    equation…

Q: 17. Which of the following are linear systems of equations? Explain each one. 1. 5x + 3y = 12 and 4x…

A: A system of linear equations is usually a set of two linear equations with two variables and having…

Q: A linear system where m, b, n, and c are nonzero constants is shown below y = mx + b y = nx + c…

A: (A) is incorrect because there is no condition on m and n, if m=n=0 and b=c then the system becomes…

Q: The following statements are true regarding the ages of Sammy, Pammy, and Tammy. "Sammy's age plus…

A: First we will set up a system of linear equation that represents the given statements about the ages…

Q: 1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y…

A:

Q: a) Consider the following system of linear equation: x+ y+z =-2 2x- y+2z = 1 x+ y + pz = q What is…

A:

Q: 22. For what values of k does the linear system (5x + 5y = k ( x +y = 3 A. k = 0 B. k = 15 C.k #15…

A: This question is related to system of linear equations, we will solve it using given information.

Q: The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at…

A:

Q: b) Consider the following system of linear equation: y+rz = s x-2y+z=5 x+ y+z =1 What is the value…

A: Given system is y+rz=sx-2y+z=5x+y+z=1 Matrix form is 01r1-21111xyz=s51 which is in form of  AX=b

Q: Find the value of A such that there is no solution to the system of linear equations Ax + 3y = 8 and…

A: For no solution to exist for two linear equations a1x + b1y + c1 = 0  a2x + b2y + c2 = 0    the…

Q: 4. For what value of b following system of linear equations has (a) unique solution (b) no solution…

A:

Q: Consider the system of linear equation: % ex + dy = 250 – h bx + ay = 10b, h=58 A: Considering "h"…

A: Consider the linear system equations: bx+ay=10bccx+dy=250-h Where a, b, c, d are constants and b is…

Q: To study the changes in boundary temperatures on a steel plate, lets assume that T1, 72. T3, T4 be…

A: Since, Temperature at each point is the average of the four nearest points. Thus,…

Q: Consider the system of equations: (a +1)x+ (2c-4)z = 2 -2by +z = 0 (-a - 1)x+ (1 - c)z = 1 Determine…

A:

Q: A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the…

A: We have to find

Q: 7- What can we say about the linear system: x + 2y – 3z = 1 2.x + 5y – 8z = 4 3x + 8y – 13z = 7 The…

A:

Q: Determine the general solution of the following system of equations. * +y+2 z = 2 -a +z= 1 2y +6 z =…

A:

Q: 1- reduce the equation to system of first I.V.B yo-4" + 4y° = 0, g(1) = -1, '(1) = 2, y'(1) = 0,…

A:

Q: 5. Which of the following systems of linear equations is an inconsistent system? A. y = 6x + 8 y =…

A: Consider the two equations, ax+by=cpx+qy=d Then, the above system is consistent only when, ap=bq=cd

Q: (7) The solution of the linear system 3x + 3y + 3z = 3, 2x + 2y – 4z = 6 2x + y + z = 2 is (a) x =…

A: Given: A system of linear equations, 3x+3y+3z=32x+2y-4z=62x+y+z=2 To find: Solution of given system.

Q: 1 23 The graph for the systems of linear equations y = ,r +2 and y = x-1 is as shown below. 10 8- 6…

A: We want to find solution of given lines.

Q: 5. Which of the following is an example of a linear system of equations? O 5x + 6y = 13 %3D 6x2- 12y…

A: We need to identify the example of linear system of the equation in this question.

Q: Consider the following system of linear equations  3x + 2y + z = 0  x + y + z = 0  x       − z =…

A: Given, the system of the linear equatione:      3x + 2y + z = 0          x + y + z = 0          x…

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A:

Q: X; +x, = 3 Consider the system of equations: x-x, -x; = 1 -x, +x, = 4 What is the value of z and x…

A:

Q: 2. Find (if possible) values of a, b and e, such that such that the system of linear equations 2r –…

A: Given: The system of linear equations

Q: 15. What is the value of the y-coordinate of the solution to the system of equations x+2y=9 and…

A:

Q: (1) The following explanation is incorrect:  Consider the linear system of three equations in two…

A: Given: ax+by=e cx+dy=f gx+hy=k

Q: A professor wants to create a test that has 12 true-false questions, 8 each multiple-choice question…

A: Solve the following

Q: Consider the following system of linear equations 8х + 5у —z%3D0. -x- y+ 5z=6. 4x – z=7. Determine…

A: We have to solve the system of linear equation.

Q: 1 1 1 X1 1 2 2 b2 x2 2 3 3 b3 X3 3 5 5 b4 Which conditions (i.e., linear equations) should bị , b2,…

A: Given matrix- 111122233355 Augmented matrix is as follows- 111b1122b2233b3355b4

Q: Give the solution set to the system of equations 5х — Зу + 2г--9 -4 x+ 2y – 2z=6 -2x+y -z=3 a) O…

A: Option f is true , None of the above.

Q: following

A: Please refer to the image below

Q: 13. Consider the linear system of equations x1 + x2 + a3 = 9 2x1 – 3x2 + 4xs = 13. 3x1 + 4x2 + 5x3…

A:

Q: which of the following is/are true for the values of a & b so that system of linear equations:…

A: Explanation of the answer is as follows

Q: Let's assume that we have the following system of linear equations Ax = b where 4 3 A = 3 -3 2 4 -2…

A:

Q: 1) Does the linear system above have a solution besides x = y = z = w = 0. Explain. 3x – 2y + 8z +…

A: See the detailed solution below.

Q: x+ y- 3z = 8 y- 3z = 3? 15. Using back-substitution, what is the solution of the linear system Z =…

A:

Q: 4 - In which condition of (k, h, m) the equation is homogenous? 5x1 X2 + 2x3 = k -2x1 + 6x2 + 9x3 =…

A: Homogenous linear system is a system of equations in which all equations are homogenous. Linear…

Q: 5. Find the solution to the following system of equations x + y + z y – 2z x + 2y – z = 4 (A) x = 0,…

A:

Q: Consider two linear equations: a1r + B1y = Yı a2x + B2y = 2 Is it a linear system? why? Write the…

A: Let us denote α by A, β by B and γ by C, where A,B,C are constants. Given linear equations are,…

Q: 4. Which one of the following describes the solution set for the system of linear equations in r, y,…

A:

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.