Solve each of the following problems by setting up and solving a system of three linear equations in three variables. The sum of three numbers is 40. The third number is 10 less than the sum of the first two numbers. The second number is 1 larger than the first. Find the numbers.

Q: solve the following system of equation 4x -9y = -8 3x -5y =1

A: Given the equations : 4x -9y = -8  3x -5y =1

Q: Solve the following system of equations graphically on the set-of axes below. 3 y = 5 a+2 y = x - 6

A: System of equations are : y = -35x + 2 y = x-6

Q: Solve the following system of linear equations using the method indicated in brackets. 4x + 9 y = -…

A: Given equations are: 4x + 9y = - 7 ........................ (1) 2x - y = 2 ......................…

Q: solve the following systems of equations by any method. (Don't forget to find x and y)   y=x-4…

A: In this problem  Solution Pairs of x and y is the intersection points of both curves .

Q: Solve each of the following problems by setting up and solving a system of three linear equations in…

A: Let 'a' be the shortest side of the triangle. Let 'b' be the second side of the trinagle. Let 'c' be…

Q: y = -x+8 5 y = 2"

A: Given : The two linear pair of equations are : y=-x+8                             …1 y=52x-6…

Q: Solve each of the following problems by setting up and solving a system of three linear equations in…

A: Let the three angles of the triangle be,x,y and z respectively (in degrees,wherex>y>z) Then by…

Q: Solve the following system of equation. 5x+2y+z=18 1/2y-z=-3 3x-y+4z=20

A:

Q: A hospital needs 80 liters of a 12% solution of disinfectant. This solution is to be prepared from a…

A: 0.33x+0.05(80-x)=.12*800.33x+4-.05x=9.60.33x-.05x=9.6-40.28x=5.6x=5.6/0.28

Q: solve the following system equations - 1/2x + 1/5y =11 3x +1/4y = -3/4

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Q: Solve the problem by writing and solving a suitable system of equations. 1) If 50 pounds of tomatoes…

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Q: Solve the following system of equations for the value of x and y. y = 3x+ 9 y = 5x (х, у) 3 (

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Q: Solve the following system of equations graphically on the set of axes below. y = 2x - 3 x + y = -6

A: Given y=2x-3 x+y=-6

Q: solve the following system  of equation -1/2x + 1/5y = 11 3x + 1/4y = -3/4

A:

Q: solve the following system of equation  - 0.7x +1.9y = 7. 9 2.8x - 1.6y = 4.4

A:

Q: d. y 3(x-2)2 +3 y 6x- 12 %3D

A: Given query is to find the solution of the system.

Q: Find the solution to the following system of equations: -4 1 X1 - 200 1 -4 1 X2 -400 1 -4 1 X3 1 1…

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Q: 17 Consider the following system of equations, and find its solution. y = x-6 y = -x- 4 A (1,5) B…

A: 17. The system of equations are : y = x-6                                         ........(1) y =…

Q: Solve the following system using back-substitution: x- 2y - z = 1 Equation 1 y + 2z = 5 Equation 2 z…

A: Here given as x-2y-z=1.....1y+2z=5.....2z=3.....3

Q: Solve the following system of equations. 1.7x-0.8y 8.4 0.5x-2.4y 6.8 %3D

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Q: Solve the following system of equation: x2 + 2y2 = 33 x - y2 = 1 x=?

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Q: Find any solution of the following system of equations. X1 X2 X3 1 1] [X1 1 X2 = 1 [x3] 1 4 |4 Lo. 1…

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Q: Find the solutions to the following system of equations: 0. 9- -4 -3 -2 1 1 2 The solutions are and…

A: The solutions are given below

Q: solve  the following system of equation -0.7x + 1.9y = 7.9 2.8x - 1.6y = 4.4

A: To Solve: -0.7x + 1.9y = 7.9 2.8x - 1.6y = 4.4

Q: Solve the following system of equations. 1.2x-1.5y= 12 0.8x-0.5y=6

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Q: What is the nature of the solution set to the following system of equations? X+y = 3 2x + 5y = 12

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Q: Solve the following system of equations for X: • 2x + y = 4 •x- 2 y = 7 1. 3. 4. 3. 2.

A: We will use substitution to solve these equations

Q: Solve the following system of equations. 4 2x -. 1 1 3*-y=-12 X = Dlo X

A: Given a system of equations, 2x-15y=45  ⋯⋯⋯⋯113x-12y=-12   ⋯⋯⋯⋯2 Multiplying (1) by 13 and (2) by 2.…

Q: Solve the following system of equations: 5x+ 3y + 4z -1 4x-7y+3z 0 x+5y-2z -I1

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Q: Solve the following system of equations graphically on the set of axes below. y = 3x - 6 1 y = x + 8…

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Q: Solve the following system of equations. 1 1 x+-y= -2 1 +x. = X y = D %3D 2/3

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Q: Given the following system of equations, what is the y value of the solution? x+4y-14z=22…

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Q: Solve the following system of linear equations + y = 1 2x + 3y 3 x = -1 and y =0 x = 0 and y = –1 x…

A: Equation solving

Q: 4. Solve the following system of equations. * y = -3x + 2 5x + y =-6

A: Given,         The system of equations are           y=-3x+2           5x+y=-6

Q: From the following system of linear equations, how many free parameters are needed to solve the…

A: Here in given equations we can use any two equations to solve the equation. Case1: 3x-4y = 0,x+5y =…

Q: Solve the following system of equations.   y = √x x2 + y2 = 72 can you help me with this?

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Q: Solve the following system of equations. 1 1 y3-5

A: To solve the given system of equation by substitution method. Firstly find the value of x's in first…

Q: solve the following system of equations graphically on the set of axes y=x+4 and y=-1/2x-8

A:

Q: y-7=-2a ww. 4x+2y = 14

A: Solve the equations  y-7=-2x  4x+2y= 14

Q: solve the following system of equations. x2+2y2=33 x-y2=1

A: Given:

Q: Find all solutions of the given system of equations and check your answer graphically. 2x - 3y = 1…

A: let y=k  then x = 0.5+1.5k , k∈ℝ

Q: Solve the following system of equations X+y-z= - 1 5x+6y-4z=3 -4x +7y-3z= 2

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Q: Solve the following system of equations by a method of your choice. x + y – z=-1 2x - y+ 2z = 8 -3x…

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Q: -3 1 -2 X'(t) = 1 1 3 X(t). 0 0 3

A: Firstly , we can find eigenvalues and eigen vector of the given matrix.

Q: Solve each of the following systems by the Method of Elimination. These two should be relatively…

A: Given : a x-y = 7x+y = 5b2x+5y = 3-2x-y = 5

Q: Find any solution of the following system of equations. X1 X3 1 1 4 4 1 1 X2 = 1 [x3. 1 1 Lo I| ||…

A: All rows of matrix are same so we get only one equation

Q: Solve the following system of equations  1/4x1/2y=3 1/2x3/5y=-2

A: Let, 1/x=u,1/y=v So the system becomes u/4+v/2=3 u/2+3v/5=-2 Divide second equation by 2 and…

Q: solve the following systems of equations and in case of infinitely many solutions, give 3 examples.…

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Q: y = x+ 2 y = - 4 112

A: solution:-