What should be the value of k in the system of equation below for it to be inconsistent? 6x + 2y = 8 -9x + ky = -11 А) -1 в) -3 c) 1 D) 3

Q: In the system of equations in x and y, 2x+3y=12, 4x+ay=16, where a is an integer, what would a have…

A: To find value of 'a' such that the system of equations 2x+3y=124x+ay=16 is inconsistent Using this…

Q: A. SOLVE THE FOLLOWING SYSTEMS as directed: 1. by SUBSTITUTION: y = 2x + 4 ---(1) 3x + y = 9 -(2)

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Q: The linear quadratic system: y = x² - 3x - 4 and y = x - 8 has how many solution sets? That is, how…

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Q: Solve the following system of equations. x−y−3z=3 3x−4y−3z=-1 −6x+7y+12z=−13 Give your answer as…

A: Here we solve the given system of linear equations.

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

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Q: (c) If the a 5 x 7 system is consistent, then the general solution has exactly 2 parameters.

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Q: Given the linear system 2x − y = 5 4x − 2y = t, (a) Determine a particular value of t so that the…

A: Given the linear system2x − y = 54x − 2y = t,

Q: Find the value of m which makes each system inconsistent. 1. Y = mx +3 Y = 4x -2 2. 3x – 4y = 8 Y…

A: We have to find the value of m when system of equation is inconsistent. System of equation would be…

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

A: Given is the figure that shows the intersection on 4 one way streets. The objective is to set up…

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

A: Given:       2x+3y+4z=11       x+5y+7z=15       3x+11y+13z=25 Now converting given equations into…

Q: The solution set of the system S x - y<1 |2x + 3y 2 12 is the set of ordered pairs that satisfies.…

A: Fill the blanks: The solution set of the system               x-y&lt;12x+3y≥12 is the set of ordered…

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

A: To find: All triplets x,y,z that satisfy system of equation x+y+z=3 and x3+y3+z3=3. Formula used:…

Q: For Exercise, determine if the ordered pair or ordered triple is a solution to the system. 2х — Зу +…

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Q: 2. Consider the system r + ay 4 ax + 9y = b For which pair of values of (a, b) does the system have…

A: The given system is- x + ay = 4 ax + 9y = b (A) When (a,b) = (3,12) We get the following system- x +…

Q: Which system of equations represents the statements below? The sum of two numbers is ten. One number…

A: We have to find the equation

Q: For Exercise, determine if the ordered pair is a solution to the system of equations. 3 y = бх — 4y…

A: Given a system of equations,

Q: For what values of k does the system x + 2y = 2– k 3x + (k+7)y=9 a. have unique solution? b. have…

A: Given x+2y=2-k3x+k+7y=9

Q: 3. Solve the following system of equations: -3x + 2y = 4 y = 2x +3 %3D O (1,5) O (10, 23) (-2, -1)…

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Q: Consider the system of equations +x +z = 2 +x +y = 0 . +y +z Which of the following statement(s)…

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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: . For what values of h and k is the following system consistent? 2x, – x, = h -6x; + 3x, = k

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Q: Zz + iz3 = 2 +5 i - iz, +22 + (-1- i )Z3 = 8 - 2 iz, +2z2 + (2 +2 i )z3 = 12 + 12 i (a) Choose the…

A: Part (a) Consider the given information. The system of linear equations are as follows.

Q: 2x−2y−z=2 4x−3y+3z=-1 −4x+2y−8z=26 Give your answer as an ordered triple (x,y,z). If the system…

A: To solve the following system of equations. 2x−2y−z=2 4x−3y+3z=-1 −4x+2y−8z=26

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: Solve the system of equations shown below by hand calculation. 3x + 2y = 9 5y 5x = 15 (x, Y) = (

A: Explanation: Given the system of equations: 3x+2y=9     ---(1)5x-5y=15   ---(2) Solve equation (2)…

Q: Which system makes the statement true? "The system has infinitely many solutions" -5x+ 4y = 5 -15x+…

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Q: Let AX-B be a system of n linear equations in n variables. If IAI 0, there is a unique solution. If…

A: Given that AX=B is a system of n linear equations in n variable.

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: In Exercises 19-28, solve each system by the addition method. Jx² + y? = 13 S4x? – y? = 4 20. 19.…

A: Disclaimer: Since you have posted a question with multiple questions, we will solve the first two…

Q: b. show if the point (2, (R+2Z)) is a solution for the following system of inequalities 2x − 3 2 −…

A: Given that R=4 and Z=9. Therefore, we have (R+2Z)=(4+2*9)=22. First, we need to verify whether the…

Q: x + 2y = m 3x + 6y = n

A: Given equations are x + 2y = m.          ... (1) 3x + 6y = n.         ...(2) For existence of…

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

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Q: For what value of a and b will the system be inconsistent ? X + X,+3X3=2 X, + 2x,+4x,-3 X+3x,+ax,=b…

A: From the given information, A=11312413a, B=23b Write the given system into augmented matrix as,…

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…

A: Solve two of the equations and by substituting the solution in third equation we can identify the…

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: Determine whether each of the following statements is true or false, and explain why.;When solving a…

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Q: Draw a block diagram to represent the system modelled by the difference equation 8yk+2 – Gyk+1 + Yk…

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Q: b. If instead we are told that det(A) = 4, then how many solutions might the non- homogeneous system…

A: The rank of a matrix is very important for the existence of the solution of a system of linear…

Q: Solve the following system of equations using say that it is inconsistent. - x+ y+ z = -1 -x+ 3y -…

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Q: Find C and D such that the solution set to the system is (5,4) Cx + 2y= 18 -3x + Dy = 9

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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: Given the system of equations ajx + b¡y = C1, azx + b2y = c2, explain why the equations are…

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Q: Given the linear system Ar = b where || 3 -2 A -2 4 -1 and b= 0 1 2 -2

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Q: The value of n for which the equations X + y + z = 1 X + 2y + 2z = n X + 4y + 10z = n? have a…

A: The values of n is R-{1,2} ,R is set of real number.

Q: 3 2 10 3 11 = Z 10 3 x-y+z =}

A: The given equations are as follows:  13x-15y+12z=710 ...(1)-23x+25y+32z=1110...(2) x-45y+z=95...(3)…

Q: 2. For the fellaring what value of system is consistent. 21-12=h -6143x2=Ki K +3h=0 %3D

A: We have the system of equation as:   2x1 - x2 = h   -6x1 + 3x2= k These two equation can be viewed…

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: Consider the following system of linear equations 2х, — Зх, + хз — Зх4 + 2x; %3D 6 2x1 – 3x2 + 5x3 –…

A: As per the instruction, we will be answering only the first one. Given: For (1), Here, we need to…

Q: What value of t ensures the following system of equations has infinitely many solution 3r + ( - 4)y…

A: We want to find the value of t