2. Solve the simultaneous equation using Cramer's Rule; x+ y+z = 6 a) 2x- y+z = 5 9x + 4y – 6z = -1 b) 7x- 7y + 8z = 17 3x + 4y – 3z = 14 x+2y - 3z = -4 1 0 2Ta] c) -1 2 3 b --2 2 1 o]c 4 1 0 d) 1 0 |2 2 -2|r] 2 -3 3 14

Q: -2 -3 Q3) Find JA| Where A =1 0 1 1 -1

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Q: Use Cramer's rule to solve the following equations I-y+:=1 2r +:= 2 3r+y-3: 3

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Q: -c+d = 0 3+c-3d = -3c d = ( +

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Q: 2х1 + 3х, — хз — 2 Зх1 — 2х2 + хз — —1 = -1 — 5х1 — 4х2 + 2xз — 3

A: Given that  The system of equations  To find the solution of system of equations by using cramers…

Q: Use Cramer's rule (by hand) to find the unique solution of x1 +3x3 = -1 -3x1 +2x3 = 1 2x2-x3=0

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Q: Use​ Cramer's rule to solve for y.  5x+4y+5z 2x+3y-3x=25 2x-5y-22=-17

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Q: 3. Perform the following operations and find the degree of the result a. (2r- 4x² +7)+(3.x² – 12x-7)…

A: According to guidelines, first three subparts are to be solved. Please repost the remaining.…

Q: Solue the following equation by using Cramer's rule x₁ - x₂ + x3 2x₁ + 33₂+ 4x3 6x₁5x2-723 = 13 20 =…

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Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is…

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Q: b) - a +b-c+d = 0 – 2a + b+c-3d = 0 a + 2b - 3c + d = 0 2a + 3b +4c- d 0

A: Let us considre the system of matrix Ax=b Using Cramer's rule, the solution of the system of…

Q: 3z,-2, +2r. = 0 z, + 27- 3za 0. by Cramer's rule (4,+ +2 0 6. Solve

A: Given that the system is 3x1-2x2+2x3=0x1+2x2-3x3=04x1+x2+2x3=0. The solution of the system of…

Q: Suppose that c. ind the values of c and d. C= [2] + d. d= -3 -10

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Q: 2x(3x-1) +8x-4(2r + 1)

A: on simplifying we get option C is true

Q: Can you solve it using Cramer's Rule

A: Solution:

Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

Q: 5) Solve by Cramer's Rule. Show all your work. (x=y+2z= 0) 3x +z = 11 (-x + 2y = 0)

A: By using cramer's rule we have to solve given linear system of equation.

Q: + %3D 5 -11 3z -4 N N N

A: 2w+3x-4y+z=9...........(1) w-3x+y-z=5.................(2) -2w-x-3y+z=-11........(3)…

Q: Solve by using Cramer's Rule: Зх -5у %3D 32 5x+4y O A. (19, 5) B. (14, 2) %3D OC. (4,-4) O D. (9,…

A: Cramer's rule is a method which uses determinants to solve systems of equations that have the same…

Q: 1 30 (A) = 2 -2 4 3 50 a) Find the minor of the element 5 and 0? b) Find the cofactor of the element…

A: To find the minor and cofactor of element  0 and 5 .

Q: ニx%(f09))= 3メと4 ノ9メ)=3メ4\ Find fox=? (fos))=3X+\+3中f=メ+3

A: Applying properties of composition

Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: Solve unknowns using cramer's rule: X1+ 2x2-1 = -X3 3x1+ 3x2 + X3 = 2 -3 + 2x2+ X1= X3

A: To solve the unknowns by using Cramer's rule.x1+2x2-1=-x33x1+3x2+x3=2-3+2x2+x1=x3

Q: what the factored form of the 1s ellowing expressons? O d? +5d -24 a.) (d+ 3)(d+8) b) &+3) (d-8)…

A: Split the middle term to factorize the polynomial.

Q: Solve the following using Cramer's Rule 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3x = 19

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Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

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Q: 。 3 o Z -2x₁ + 3x3 = 13 X2 — 3x4 = 0 2x1 + 3x2 - 2x3 = 0 -3x3 + 2x4 = -15

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Q: Зу + 42 %3D 14.8 4х + 2y - z%3D- 6.3 x - z = - 6.3 х - у+ 52%3D 13.5

A: For the Cramer's rule first we need to detect whether the determinantis zero or not.If the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.