05 For the following three groups of equations, determine whether has unique solution, infinite solutions and no solution :- Group 1 x+ y- z = -3 -4x + y + 4z = 7 -2x + 3y + 2z = 2 Group 2 2x -3y + 4z = 1 x-y-z = -1 -x + 2y - z = -2 Group 3 2x - y+ 2z = -1 -4x + 2y - 4z = 2 6x - 3y + 6z = -3 Ans. : Groupl/ No solution Group2/ Unique solution Group3/Infinite many solutions

Q: How do you find the ordered pair of -3x + 24y = 21  X - 8y = -7

A: Given: -3x+24y=21 & x-8y=-7 To determine: The ordered pair satisfying the given equations.

Q: Solve: -2x+3y=8 2x+y=16 Student Work: -2x+3y=8 (2x+y=16) Ox+2y=-8 2y=-8 2 2 ソ=-4 2x+(-4)=16 +4 +4 2x…

A: Given,  a system of linear equation. -2x+3y=8   ...........eq(i)2x+y=16 ..........eq(ii) and student…

Q: Select all the equations for which (-6, -1) is a solution.

A: I have provided a solution in step2.

Q: What do the following two equations represent? 4�+2�=104x+2y=104, x, plus, 2, y, equals, 10…

A:

Q: 2 and y = 3, then what is the value of and y If x = 2 3x²y 5x-¹y² ?

A: Find the value of 3x2y05x-1y2

Q: For which value of K will the pair of equations  kx + 3y = k - 3  12x + ky = k  have no solution?

A:

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

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

Q: solve the system using subsitution -x +3y=15    2x+3y+60

A:

Q: 3.) Ms. Green bought x shirts for the members of her chess club. The cost of the shirts and the…

A: Here given equation, 80= 7n+ 5

Q: 4x + 8y + z = 2 + 7y=3z - 14 2x = 3y +3-2z No decimals. X= Y

A:

Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4=0 6x+8y-2=0

A:

Q: Lydia and Claudia have the same number of charms in their collections. Lydia started with 6 charms…

A: Image below

Q: Solve:  − w + 2x − 3y + z = − 8− w + x + y − z = − 4w + x + y + z = 22− w + x − y − z = − 14

A:

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

A:

Q: Solve the equation

A: Given equation:                        7-2x - 5+x = 4+3x

Q: Solve and graph the following system of equations 6x - 5 25x + 23

A: Given that the system of equation, 6x-5<4x+1515x-7>25x+23

Q: does y=5x-4 and y=5x-5 have no solution, one solution, or infinitely many solutions

A: Given that two lines. y = 5x - 4 and  y = 5x - 5.  Both lines have same slope m = 5.

Q: x=2+2y 3x-5=6y  solve system of equations

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Q: 3 mangoes and 2 pineapples can be bought at Rs.420. Price of 4 mangoes is Rs.10 more than the price…

A:

Q: Solve the system

A: To solve the given system of equations

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.