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

A:

Q: Select all solutions to the equation (2x – 4)(x + 5) = 0 O x = 1/2 O x = -5 O x = -2 O x = -1/2 O x…

A: We have to solve (2x-4)(x+5)=0

Q: Solve by elimination

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: 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: If a*b = ab - b/a,  Evaulate: (i)  3 * 6 (ii)   2x ( 3 * 6 )   Solve the simultaneous equations:…

A:

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

A:

Q: 5x+4y=10 5x+8y=30 Solve for x and y

A: To solve for x and y

Q: Solve Using Gauss-Jordan -2x1 + x₂ + 6x3 = 18 - 5x1 + 0x2 + 8x3 = -16 3x1 + 2x2 - 10x3 = -3 x1: x2:…

A:

Q: -3y-9(2y+1)=7-5(6-y) solve for y

A:

Q: m8 + 6mt – 32m2 = 0 %3D

A: the given equation is m8+6m4-32m2=0 substitute  u=m2u2=m4u4=m8 therefore, u4+6u2-32u=0uu3+6u-32=0…

Q: X - 2y = 3  3x = 6y + 9 solve by substition

A:

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: x+y=3 2x-y=0 solve by substituion

A: Firstly, we find y in term of x from first equation

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

A:

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

A:

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

A:

Q: solve for x (x-4)2 =2x2-9x-14 If there is more than one answer, septerate with commons

A:

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

A:

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: 2.x - 3 3x – 2 5. Solve for x: 5x + 10 4x + 8

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.