If we double each side of the second equation, 2x+y=8, we have 4x+2y=16. Explain why the same (x,y) pair that is the solution to the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.

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Q: Show that the ordered triple (-1, 2, -2) is a solution of the system x + 2y - 3z = 9, 2x - y + 2z =…

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Q: Solve the system  x+1/4y-z=-3/2 1/4x+y+3/4z=1/2 -1/4x-y+1/2z=-7/4

A: We will use  the Gauss-Jordan Elimination method.

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Q: Find all solutions of the given system of equations and check your answer gra 4x - 3y = 2 3x - 4y =…

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Q: Solve the system x2 + y = 4, 2x + y = 1 by the substitution method.

A: Given x2+y=4→1 , 2x+y=1→2from 2 y=1-2x →3

Q: The number of degenerate basic solutions of the system, x₂ + 2x₂ + x3 = 4, 2x₁ +x₂ +5x₂ =5 is ?.

A: Given system of linear equations are   x1+2x2+x3=42x1+x2+5x3=5 Degenerate basic feasible solution,…

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Q: Solve the system x + 4y - z = 20, 3x + 2y + z = 8 and 2x - 3y + 2z = -16.

A: Now adding equations (1) and (2), we get

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Q: The sum of 2 numbers is 64, and their difference is 14. What system of equations would model this…

A: It is given that sum of two numbers is 64 and difference is 14.

Q: Why do systems of equations sometimes have no solution?

A: We have to use properties of system of linear equations to to find out solution

Q: If a system of equations is solved by graphing, the solution might be approximate. TRUE OR FALSE

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Q: Without using any algebra, it’s obvious that the nonlinear system consisting of x2 + y2 = 4 and x2 +…

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A: Explanation of the solution is given below...

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A: The difference between the squares of two numbers is 5.Twice the square of the second number…

Q: Find one solution of the system x = 5x1 – 4e', x, = 2x1 + 3x2, xz = -x3 + 2e* -

A: We have x'1=5x1-4et  ...(i)                 x'2=2x1+3x2    ...(ii)                x'3=-x3+2et…

Q: i need help  solve tge system of equations by any method -2x+4y=18 x-2y=-9

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A: Given equations are- 2x-5y=6&  3x+y=26 As in the given question, we have already found the value…

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Q: Find the ordered pair solutions to the system of nonlinear equations given by: 2 - y = 4 2 2 = 4

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Q: Solve the system: x + y + 2z = 19 y + 2z = 13 2 = 5. What makes it fairly easy to find the solution?

A: The given system: x+y+2z=19   ...(i)y+2z=13        ...(ii)z=5                  ...(iii)

Q: Solve the system: x + y = 4, x + z = 4 and y + z = 4.

A: Given information: x+y=4      ...(1)x+z=4      ...(2)y+z=4      ...(3)

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Q: Is it possible for a system of two linear equations in two variables to have exactly two solutions?…

A: Is it possible for a system of two linear equations in two variables to have exactly two solutions?

Q: Solve the system: x + y = -4, y - z = 1 and 2x + y + 3z = -21.

A: Given equations are: x+y=-4                       ⋯1y-z=1                           ⋯22x+y+3z=-21…

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Q: Solve the system: x + y + z = 6, 3x + 4y - 7z = 1, 2x - y + 3z = 5

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Q: Determine the solution of this system of linear equations

A: Given system of linear equation: To find: The relation between the variables x1 , x2 , x3 , x4.

Q: what is meant by system of nonlinear equations?

A: A system of two or more equations having two or more variables containing at least one equation that…

Q: How do I solve a system of linear equations in two variables using substitution?

A: A system of linear equations in two variables is of the form             ax+by=mcx+dy=n

Q: This exercise refers to the following system. x  −  y  +  z  =  4 −x  +  2y  +  z  =  −1 3x  +  y…

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Q: If the process of elimination is the method used to solve this system of equations, what is the…

A: GIVENx+y=6x-y=2

Q: Solve the system: 2x - y + z = 1, 3x - 3y + 4z = 5 and 4x - 2y + 3z = 4.

A: Our Aim is to solve the system:-2x-y+z=1 -(i)3x-3y+4z=5 -(ii)and 4x-2y+3z=4-(iii)

Q: Suppose you graph a system of linear equations. if a point is on only one of lines, is it a solution…

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Q: When using the addition or substitution method, how can you tell if a system of two linear equations…

A: Topic to be described- How to found system of two linear equations with 2 variables have no…

Q: Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

A: