Find the values of​ a, b, and c such that the equation y=ax2+bx+c has ordered pair solutions ​(1​,12​), ​(−1​,−4​), and ​(0​,−2​). To do​ so, substitute each ordered pair solution into the equation. Each​ time, the result is an equation in three​ unknowns, a,​ b, and c. Then solve the resulting system of three linear equations in three​ unknowns, a,​ b, and c

Q: Solve the following system of linear equations: 3x1−3x2+6x3  =  −9 −3x1+6x2−9x3  =  12 2x1+x2+2x3…

A: A system of linear equations can be solved by Gauss-elimination method , Gauss-jordan method ,…

Q: z+ 2y-z 3 -2x-y+z=-1 6x 3y-z -7 O no solution O exactly one solution O Infinitely many solutions

A: Recall: If a system has at least one solution , it is consistent .( If  a system has exactly one…

Q: Find all the solutions of the system of equations x, + 2x, - x, = 1, 3x, – 2x, + 2x, = 2, 7x, – 2x,…

A: We have the system of equations: x1+2x2-x3=13x1-2x2+2x3=27x1-2x2+3x3=5 We can write it in matrix…

Q: Solve the system of linear equations: {x + 2y- 3z = -5 {-2x - 4y-6z = 10 | {3x +7y-2z = 13

A: Using elementary row operation, we solve yhe given linear system.

Q: -7x+9y 6r + 8y %3D 山一正山位

A: Rhe objective is to write the type of system of equations and find general solution.

Q: Determine whether each of these ordered pair are a solution of the system of equations. (-3,-2) and…

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Q: Indicate the solution to the system of linear equations by typing your solution in the boxes…

A: We want to find value of x and y

Q: Find all solutions of the system of equations.

A: Given : The system of equations x2 +y2 = 9x2 - y2 = 1 .

Q: x' = x+2y x(0)=1, y(0)=2 y' = 2x+ 4y

A:

Q: Enter the x coordinate of the solution to this system of equations. O 3x + y = -2 x- 4y = 8 %3D X=

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Q: Find the solution of the system of equations x - 3y = -215 x + 5y = 441

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Q: х+ у+ z%3 0 х+ у—аz %3D 0 az = 0 —ах + у+ z %3D 0 z = 0 —х + аy — z %3D 0

A:

Q: Find all solutions of the system of equations.

A: Solutions of the system of equations. y+x2=4x..................... equation…

Q: -3 1 -2 X'(t) = 1 1 3 X(t). 0 0 3

A: Firstly , we can find eigenvalues and eigen vector of the given matrix.

Q: Find the solution to the system of equations graphed here. x x 4x A B C D (1,3) (3,1) (-1.-3) -10 E…

A: We have given graph of system of equations  From given graph  Intersection point is given as x,y=1,3…

Q: 4 Let f(x) = x* + 2.x (i) Find the values of a and b so that the multiplicity of the root - 1 of f…

A: f(x) has a root α of multiplicity m if f(α)=0........fm-1(α)=0

Q: state the solution to the system of equations below.

A: To find the solution to the system of equations graphed below.