1. Solve by Gauss Elimination 6x + 3y+6z=30 2x+3y+32= 17 x+2y+2x=11 w+y+2=19

Q: 7) Find the solution to the equation V2x + 5 - 6= -4.

A: We have to find x

Q: Show that the equation x+y* : integer. 100 has no solution when each of x and y is a positive

A: To show x4+y4= 100 has no solution when each of x and y is a positive integer.

Q: 2. Solve the following simultaneous equations by elimination: (3x - y = 5 4x + y = 9 a) b) {3x 7x

A: a) we need to solve given system by elimination method b) we need to solve given system by…

Q: solve for 3x2 − 2xy + 3y2 + 8z2 − 31 = 0

A:

Q: a = 2x + 6xz solve for x

A: The given equation is: a = 2x + 6xz  To solve this equation for x, take the x common from the right…

Q: 1. Solve the following sir y = 2x - 3 =) { / 4x - 3y = 7

A: Here we have to solve the equations.

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

A:

Q: Solve xi + 2x2 + 4x3 + X4 = 21 2x1 + 8x2+ 6x3+4x4= 52 3x1 + 10x2 + 8x3 +8x4 = 79. 4x1 + 12x2 +…

A: To solve given system of equations.

Q: x + 2y3z + 2t 2x + 5y8z + 6t 3x + 4y - 5z + 2t = 2 = 5 = 4

A:

Q: Solve: 2x + y + z + x + 2y + Z + X + y + 2z+ y + y+z+ X + x + W= W = 4 W : 5 W 6 W = 7 u + 2w = 8 u…

A: here we have to find the value of 'w'.

Q: Solve by substitution : 2x - 3y = 4                                        2x + y = -4

A: We have to solve the equations by the substitution method.

Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

Q: Q9: solve x + 2z = 6 -3x + 4y + 6z = 30 -x - y + 3z = 8

A:

Q: Solve for x and y (3x5y = 22x+1 +22x-1 (3y5x = 22x+2_22x-2

A:

Q: 6. Solve: y³ 12y² + 32y = 0 -

A: Given equation y3 - 12y2 + 32y = 0

Q: 11) Solve by Substitution a. b. -4x – 2y =-1 y=-2x – 4 x+3y=-17 -8x + 8y =-24

A:

Q: If P = 7x +7x +8 and P2 = 2x - 3x-4 then 2P + P2 = %3D O 16x? + 11a + 12

A: P 1=7x2+7x+8 and P2=2x2-3x-4 Then 2P1+P2 =2(7x2+7x+8)+(2x2-3x-4) =14x2+14x+16+2x2-3x-4=16x2+11x+12

Q: a. Solve by back-substitution: 3x1 + 3x2 + X3 = 12, -4x₂-3x3 = -10, 4. 2x3 = = b. Solve by…

A: We will solve the system of equation by back substitution  and  forward substitution

Q: Find all solutions of:2x + 2y + 4z = 8x - y + 2z = 2-x + 5y - 2z + 2

A: First we describe the given equations as a matrix. And then we use Linear algebra to solve the given…

Q: Solve 71+3r9 +6xs- I+ I, = --2 211+ 8r2 + 16r3 - 3r4 +3x5 = -4 +20, + 4r3-3,+3x; -7

A:

Q: a. Solve by back-substitution: 3x1 + 3x2 + x3 = 12, -4x₂-3x3 = -10, 2x3 = 4. b. Solve by…

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Q: Solve for a: »2-a-x² (2-a²-y 4 dzdydx 15 %3D 0. a

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Q: O Solve x n+3 +X n+2 +7x n= 0

A:

Q: 9. A. x + 3y = 6 B. 3x + y = 6 11. Solve 6x + C. x - 3y = -6 D. 3x - y = -6 1 5 = 3x - 3 10

A: (Q). 9  We have given the graph we need to determine the equation of line.(Q). 11 We have given the…

Q: (a) Use the given information to write a system of linear equations for x, y, and z. (b) Convert…

A:

Q: 2x2 + 3х- 5%3 0

A:

Q: what is the solution for this 6x + 3y = 24 4x + 2y = 16

A: The given system is: 6x+3y=24                   ...... (1)4x+2y=16                   ...... (2)

Q: Find the solution of x2 + y2 - 3y - 4 = 0 and x2 + y2 + 2x - 5y - 2 = 0

A: Given equations                            x2 + y2 -3y -4=0    ----- (1)x2 + y2 +2x-5y-2=0…