1. A system of linear equations with a graph of parallel lines is of what type of system? C. Consistent Dependent A. Consistent Independent B. Inconsistent D. Consistent Inconsistent 2. If two lines 3x-y+ 4 = 0 and ax + 2y – 3= 0 are parallel, then a =- C. -0.5 A. -6 B. -3 D. 3 3. Which of the following is true about the solution set of linear inequalities in two variables? A. it is a number line B. it is half a plane C. it is part of one quadrant D. it is expressed in an equality

Q: Given a system defined by the linear constant-coefficient difference equation n]->n-1}+[n-2]=2x[n+1]…

A: The system is linear.  The system is time invariant.  The system is not causal.  The system is…

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: Given, x-3y=5         .......13x-9y=15         .......2

Q: Discuss the consistency of the following system of equations: 2x+3y+4z = 11, x+5y+7z = 15,…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is augmented matrix is

Q: Discuss the consistency of the following system of equations.  X+y-2z+3w=0 , x-2y+z-w=0…

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Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: The two equations are: 5x-4y=11 4x+5y=12 Therefore comparing to the general equation of anx+bny=cn…

Q: refer to the following systems of equations: I. 5x - 2y = 122x + 5y = 7II. x - 4y = 12x - 8y = 2III.…

A: Since, Parallel Lines have same slope.(I) 5x-2y=12⇒2y=5x-12⇒y=-6+52xComparing the above equation…

Q: What conditions must be satisfied by b1, b2, b3, b4, and b5 for the overdetermined linear system x1…

A: Given , set of equations we need to find the values of b1 , b2 , b3 . So the equations given are…

Q: Consider the following system of linear equations 8x + 5y – z=0. -x-y+5z =6. 4x - 2=7. Determine the…

A:

Q: Under what condition is the system of linear equations given below consistent? 2x - y+ 3z a 3z +y-5z…

A: use Cramer rule

Q: Find two numbers a and o such that the following system of linear equations is inconsistent. ax- 5y…

A: A system is said to be inconsistent if no solution exist. For a1x+b1y=c1, a2x+b2y=c2, if…

Q: What condition on a and b ensures that the following system of linear equations is consistent? -7* -…

A:

Q: O True, there is always the trivial solution, when all variables are equal to 1. O True, there is…

A:

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: Given: 5x-y=6   ...(1) 10x-2y=19   ...(2)

Q: 1. Which of the following systems of linear equations are parallel? A. 3x + 2y = 4 6x + 2y = -10 B.…

A: Slope intercept form: y=mx+b where m is slope of the line and b is y intercept.   it is known that,…

Q: 4) Graph the systems of linear equations on your calculator and select the correct solution. Sy= 2z…

A: The given system of equations are as follows:y=2x+3y=0.4x-2

Q: Given the linear system3x + 4 y = s 6x + 8 y = t , (a) Determine particular values for s and t so…

A: Given: Given the linear system:3x+4y=s6x+8y=t To Determine: a. Particular value for s and t so that…

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

A:

Q: b) Consider the following linear system: x- 3y + 27 -8 3x - 8y - 52- 1 2x - 4y - 182 --10. Find the…

A: We need to find the general solution of the system.

Q: 1. Solve the following system of linear equations by substitution method. Draw all the lines/planes…

A:

Q: Given the linear system 3x - 2y = s -9x + 6y = t  (a) Determine all values for s and t so that the…

A:

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: 4x+3y=72x-y=10 Here, a1=4,  b1=3,  c1=7,  a2=2,  b2=-1,  c2=10.

Q: A bakery owner knows that customers buy a total of q cakes when the price, p, is no more 30 d(q) =…

A: This is a problem related to linear inequalities. Based on the given graph and inequalities we will…

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

A:

Q: Determine the solution of the following system of linear equations. 2x + 2y + 2z 0 -2x + 5y + 2z = 0…

A:

Q: There is another way of telling whether a system of two linear equations in two unknowns is…

A: The given system is4x-3y=79x+2y=5

Q: In each case decide if the linear system of equations has a unique solution, no solution or many…

A: Consider the given information. (i) Consider the given equations.   Bx1+Ax2=1-Bx1-Ax2=0 Convert the…

Q: Zx +y s4 X - 2y 2 -2

A: 2x + y ≤ 4 x - 2y ≥ -2 The feasible region is given below.

Q: What condition on a and b ensures that the following system of linear equations is consistent? I – 2…

A: The given system of linear equations:x-2y+3z=42x+y-z=a3x-y+2z=b

Q: Show that the system of linear equations x + 4y + 7z = −3 2x + 6y + 5z = 10 8x + 9y + 5z = 1 can be…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A: Since you have posted multiple questions, we will solve only first question. If you want to solve…

Q: If the linear system -3z + 4 y 6 z %3D -6 z 5 y 7 z 6. 15 z + 32 y + hz k %3D has infinitely many…

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: 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: Under what conditions on a, b, and c the system x + y + 2z = a −2x − z = b x + 3y + 5z = c (a)…

A:

Q: 4) Solve the following system of equations:- c) x + y+z = 2 a) x + 8y = 4 b) 2x + 3y = 5 2x – y+ z =…

A: To solve the given system of equations

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: Consider the following system of linear equations: X1 - X2 + 2x3 -X1 + x3 = 41+s (-2x1 + x2 +rx3 = 2…

A:

Q: -3 x - -3 x -9 x - бу + + 6y + + 6y + 3z 3 z hz -4 4 k

A:

Q: Consider the following system of linear equations.n 1x_1 - 1x_2 + 4x_3 = 4 2x_1 - 1x_2 + 4x_3 = 7…

A: Given:   1x_1 - 1x_2 + 4x_3 = 4 2x_1 - 1x_2 + 4x_3 = 7 0x_1 - 1x_2 + 5x_3 = 1 0x_1 + 0x_2 - 2x_3 = 0

Q: 1) Solve the following linear system by graphing. ® [3] 10 a) 8. y = -2x + 9 O y = x - 9 2 10 -8-6…

A:

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

A: A figure is givrn in question that shows the one way streets and four intersections. So, we made our…

Q: Which of the following ordered pairs is within the solution set to the following system of linear…

A:

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

A: Given

Q: 1. Find the solution of the system of linear equation w+ 2x-y+z- 6 -w+x+ 2y - z = 3 2w-x+ 2y + 2z 14…

A:

Q: 4. Shade the solution of each system of inequalities on the given graph. (x - y2 0 lx + y2 2 [x –…

A:

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 the linear system  -5x + 3y - 6z = -6 -2x - 3y + 3z = 9 23x + 3y + hz = k has indifinitely…

A:

Q: If det(A)=5, det(A1)=20 and det(A2)= -10, then the solution (values of x and y) of the linear system…

A: Given that detA=5, detA1=20 and detA2=−10. We have to find the value of x and y by using Cramer…

Q: What is the solution set of the following linear system  x + 2y - 3z = 4 -2x - 4y + 6z = -8 3x +…

A: The solution is:-