Solve the following simultaneous equations: 2Y=4x -16 & Y-2x-3=0 * O Infinitely many solutions O (-5.5, 0) O (-5.5, -1.25) no solution

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: Solve by Substitution J-4x 7y -5x + y -18 -3 O No solution O Infinite number of solutions

A: -4x-7y=-18-5x+y=-3

Q: Solve for X in the equation, where -5 5 2 2 5 -3 A = and B = -4 0 4 1 3 2 2X = 2A – B X =

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: The equation x +1- Vx - 1 = has V4x – I O A. more than three solutions O B. no solution O C. one…

A: We solve the above equation and find the value of x as follows:  The formula for the product…

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

A: Here we have to solve the equations.

Q: Solve for A: 2 4 6 8 -3 5 37 10 A=6 1 -7 1 4 6 9 -6 3 0 0 0 A=0 0 0 0 0 0

A:

Q: Solve the equation

A: Given, 5y4-7y2+1=0 now put y2=t 5t2-7t+1=0 now solve this quardatic equation

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: Solve a0 = 1, a1 = 3 and an = an−1 + 6an−2, for n ≥ 2.

A: We will start with the trial solution, an = rn for all n > 0

Q: Find the solution for an = 6a-1-8an-2 for n>2 and ao = 4, aj = 10.

A: Given recurrence relation is an=6an-1-8an-2, n≥2 and a0=4, a1=10. Let an=xn be a solution of above…

Q: Solve 4 2 x(0) — 2, у(0) - 2 - 17

A:

Q: Find the X-intercept point and the Y - intercept point of the line 24x12y +36=0 D Y-intercept point…

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Q: Solve 2(1 + i)x² 4(2-x-5-3;= 0.

A:

Q: Obtain the solution of this set of simultaneous equations: 3x1 - x2 - 2x3 = 1 -x, + 6x2 – 3x3 = 0…

A:

Q: Which equation has the same solution as x2 – 13x – 18 = 0? (x – 6.5)2 = -24.25 O (x – 6.5)2 = 60.25…

A: Simplify

Q: Find the exact solution e2x-2ex-15=0

A:

Q: Solve. 8r - s+ t= -9 (1) 2r+2s- 3t r-3s + 2t = =-20 (2) 17 (3) The solution is ( D.

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Q: Solve for x 3(-6x - 3)-5(-4x + 8) = 7

A: We have to solve for x  3 (-6x - 3) - 5 (-4x + 8) = 7 Then ,

Q: Solve the equation 7x-17= -7x + 11 by referring to the solutions of y = 7x - 17 and y = -7x + 11…

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Q: 23x-6 =8x-2 no solution or infinitely many olutions

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

A:

Q: 3x+2y-8z=-3 -x-3y+15z=8 6x-3y+15z=8 Solve equations either by elimination or substitution

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Q: dy e2x-y Q.2 Solve dx ex+y

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

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Q: Solve the following set of equations with LUdecomposition: Зx1 — 2х2 + Xз3 —10 2x1 + 6х2 — 4хз — 44…

A: Given:          3x1-2x2+x3=-10         2x1+6x2-4x3=44         -x1-2x2+5x3=-26

Q: Solve for x:  x + 5 = 9 8 +x = 1 7 + x = 16 x + 3 = 8 x - 3 = 4 5x = 20 7a = 42 3x = 12 16 - 3x = 4

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.