Find the value of p and q for which the following system of equations has infinite number of sulutions 2x+3y=7 (p+q)x+(2p-q)y=21

Q: Find the best approximation to a solution of the given system of equations. 2x + 3y + z = 21 , x + y…

A: 2x+3y+z=21---(1) x+y+z=7-------(2) -x+y-z=14-----(3) 2y+z=0--------(4)   Adding 2 and 3:…

Q: Consider the system 2x + y – z = a 2y + 2z = b X - z= c Find conditions (if possible) on a, b, c…

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A: Given  The system of equation is  2x + 3y − z = 11x − y + 2z = −74x + y − 2z = 12.

Q: What value of t ensures the following system of equations has infinitely many solutions? ... 3r + (*…

A: Given system of equation is 3x + (t2 - 4)y = 1ty = 2

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Q: Q.30 For what value of a, if any, will the following system of equations in x, y and z have a…

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Q: Which number q makes this system singular and which right side t gives it infinitely many solutions?…

A: x + 4y - 2z = 1               --------------eqn (1)x + 7y - 6z = 6               --------------eqn…

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Q: Solve the value of x in system of equations. 2х + 4y - 2z %3D 0 Зx + 5y = 1 а. 2 — 5t b.s с. 3t — 1…

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A: Solution: Consider the given system of equations 3x - 2z = 4x - 4y +z = -5-2x + 3y + 2z = 9 Find the…

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A: Given, Fx,y=x2+y2 and x˙=y, y˙=-x+3y. We need to find the value of F˙ along solutions.

Q: Find C and D so that the solution set to the system is {(4, 1)}. Cx + 5y = 13 -2x + Dy = –5

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Q: 3. Find the solution to a system of equations by substitution. Solution in (x, y) form E2x+5y%D = 1…

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Q: Let k be a constant, and solve the following system of equations for x and y in terms of k: -4 x+ ky…

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Q: Solve the systems of linear equations over the indicated Zp 3x + 2y = 1 over Z7  x + 4y = 1

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Q: a) Determine the relationship among the constants p, q and r under which the following system in…

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Q: Find all value of the a for which the homogenous linear system has non- trivial solutions. (2α +…

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Q: For what value/s of r and t does the system: 4z t 2Y 7z 2x бу -3x бу rz have (a) exactly one…

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Q: - Given the following system of equations, 1-find the value of z and x, dx 2- find (AT) + 5 (x²) 3-…

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Q: Solve the systems of linear equations over the indicated Zp. 3x + 2y = 1 over Z7 x + 4y = 1

A: To solve the system of linear equation over the indicated Z p . 3x + 2y = 1 ..... (1)  x + 4y = 1…

Q: What value of t ensures the following system of equations has infinitely many solutions? 3x + (t² –…

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Q: x + 2y – 3z = 4 3x – y+ 5z = 2 4x + y + 2z = a + 2

A: First I have written a short note about unique , no and infinite solution just using them and find…

Q: Consider the system x + 2y – 3z = 4 %3D 3x – y + 5z = 2 | 4x + y + (a² – 14)z = a + 2 where a is an…

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Q: H.W: Find the value of x, y for the following system of eq. (k-1)x+ky=1 Kx+(k-1)y=-1

A: Given system of equation, (k-1)x+ky=1         ...........1(k-1)y+kx=-1     ...........2

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Q: Find all solutions of the system of equations.

A: Simultaneous equations are two or more equations which involves two or more quantities that are…

Q: Solve the systems of linear equations over the indicated Zp. x + 2y = 1 over Z3 x + y = 2

A: x+2y=1 x+y=2 over Z3

Q: Use back substitution to find the solution of the following system. Sx + y + 3z = 1 y + 2z = 1

A: We can solve this as follows:

Q: Consider the system: x+ 2y + 3z = 9 2x - y +z = 8 3x + 2y + (a2 –1)z = 6a %3D - Find all values of a…

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Q: Find the value of the constant "a" that makes the following system has infinitely many solutions x +…

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Q: Given : x + 2y + z = 3 ay + 5z = 10 2x + 7y + az = b Question: Find those value of a which the…

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Q: For constants a and b, consider the following linear system in the unknowns x, y, and z: x – y + z =…

A: Given Linear system of equations is  x-y+z=23x-2y+4z=72x+y+az=b we have to find values of a,b when…

Q: 2. For the equation y" – 25y'" + y = e", construct a system of first order equations such that y is…

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Q: Find the solution of the nonlinear system below f1= x^2-xy+y^2-3, f2=x+y-xy' using newton raphson…

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Q: For which value of kthe system of the linear equations below has infinitely many solution? x+ ky = 1…

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Q: Given the linear system x + 2y = 10 3x + (6 + t)y = 30, (a) Determine a particular value of t so…

A: Given: The linear system as x+2y=103x+6+ty=30 To determine:  A particular value of t so that the…

Q: With a 1 unit change in b, what is the change in x in the solution of the system of equations x + y…

A: Introduction :Given ,two equations with variables x and y.we have asked to find the change in x

Q: Consider the following system of linear equations. 5x + 2y + 3z = 7 2x + y + z = 4 7х + Зу + 4z — п…

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Q: Solve the system by the method of substitution. (If there is Sy= ly = x + 3x2 + 4x -x x ) (x, y) =…

A: The given system isy=-xy=x3+3x2+4x

Q: 6. Consider the following system of equations: 3x +2 y = 9 2х — у %3D1 The value of y in the…

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Q: a) Determine the relationship among the constants p, q and r under which the following system in…

A: The given system of equations

Q: Is there a value of r so that x = 1, y = 2, z = r is a solution to the following linear system? If…

A: Given, 2x+3y-z=11x-y+2z=-74x+y-2z=12

Q: C Solve the given system of DEs: x = -4¢ – y, y = 5x + 2y. Also, write down the unique solution…

A: The solution is given as

Q: Determine the value(s) of a for which the linear system has infinitely many solutions. ax + y = 16…

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Q: With a 1 unit change in b, what is the change in x in the solution of the system öf équations x + y…

A: Here we can find the required answer as below.

Q: Identify the value/s of a that will make the system inconsistent (no solution). (2x + 4y + z = 0 4x…

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