map of two cities is plotted on a coordinate grid. One city is centered at (−60,40), while the other is at (40,20). A rest station lies at the midpoint of a straight road joining the centers of each city. What is the location of the rest station?

Q: Solve this system of three equations with three unknowns using appropriate software: 2x − y + z = 9…

A:

Q: Solve the system using elimination. 3x + 4y = 2 2x + 2y = 4 %3D ([?], [ ])

A:

Q: Solve the System. Give answer as (x, y, z). - 2x 5y + 5z 4 - – 4x + 5y + 6z 30 - - 8x + 5y + z = 4…

A: we have to solve the following system

Q: Solve the System. Give answers as (x,y,z) -3x-5y-6z=8 4x-10y+6z=-38 -1x-20y-6z=-22 (x,y,z)=(…

A: Add first and second equation.

Q: Find the values of w, x, y, z of the equations 4w+8x-8y-8z= 12 бw+12x-20y+9z %3D6 |

A:

Q: Solve the system with the addition method: S 4x 8y -8 %3D - -3x + 9y 15

A: Given linear equation is : 4x-8y=-8             ....1-3x+9y=15          .....2 To solve the system…

Q: Solve the system by elimination. 3x-2y=6 -2x+5y=7 (x,y)= (______,_____)

A:

Q: Solve the System. Give answer as (x, y, z). 1x Зу 1z - 7 - 2х + Зу — 52 - 26 - - – 4x + 3y – 2z 4 -

A: x - 3y - z = -7    ---(1) 2x + 3y - 5z = -26   ----(2)  -4x + 3y - 2z = 4   ----(3)    From (1)  x =…

Q: Solve the System. Give answer as (x,y,z) −6x−1y+6z=32 −12x+1y+5z=62 24x+1y-2z=-96 (x,y,z)=

A: Here we have to solve the given system of equations.  We have,  -6x-y+6z=32-12x+y+5z=6224x+y-2z=-96

Q: Find the solution to the system of equations. 4 y 2x+2 3 ([?], [ 1) 2 -4-3-2 /1 1 2 3 4 -2 -4 Enter

A: Answer

Q: Find the solution set for the system 4x2 + y2 = 4, x + y = 3 by graphing both of the system’s…

A: Given, The equations 4x2 + y2 = 4, x + y = 3.

Q: solve this system of equations {-1x+1y =-4   -2x-1y =  -8 (x,y)=_____

A:

Q: Use back-substitution to solve the triangular system. 4x y + 4z = 12 у + 4z = 0 -2z = 1 (х, у, 2) -

A: solution by back-substitution is given below..

Q: Find the intersection. x = -3 + 5t, y = 3 - 3t, z = 8 + 5t ; -9x + 9y - 3z = 3

A:

Q: Solve this system of equations  {−1x−1y=3 {−2x+1y=−9  (x,y)=_____

A: We have to solve the system of equations - x - y = 3    ...... (1) - 2x + y = - 9   ...... (2) Add…

Q: an intersection must equal the number leaving to deter- mine x and y. N 150 cars/hr 50 cars/hr 500 A…

A: form the equation at the intersection: number of cars entering per hour= number of cars leaving per…

Q: Solve the system of linear equations for x and y:

A: Given data:     The first equation is: (cos θ)x+(sin θ)y=1. The second equation is : (-sin θ)x+(cos…

Q: Solve the system: 2y - z = 7, x + 2y + z = 17 and 2x - 3y + 2z = -1.

A:

Q: Find the solution to the system of equations.

A: The given graph is as follows:

Q: Use the method of substitution to solve the system.

A: Given that, 6x3-y3=1 ----(1)3x3+4y3=5 ----(2)

Q: Find the values of w,x, y,z of the equations 2w+2x+y+4z=4 w-7x+4y+12z=8

A: We need to find value of w, x, y, z.

Q: Use substitution to find the solution for this system of equations: y 2x 6x-y 8 O (2, 4) O (4, 2) O…

A:

Q: Solve the system terms of Z. *** 2%3D3 3x = ay+ + by 6. + 37=25

A: From x+y+z=7 we get x = 7 - y - z Plug this in the second equation

Q: Solve by graphing. 4x − 5y = 27 y= 9 − 4x (x, y) =

A:

Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x2 – x3 = -38 — бх, — -3x - -…

A:

Q: Is (-3, -2, 5) a solution of the system x + y + z = 0 2x – 3y + z = 5 4x + 2y + 4z = 3?

A: For the given point:                                      (-3, -2, 5):   We need to determine:…

Q: Solve the system. Give answer as (x,y,z) 5x -4y +2z =-4 4x −8y −2z =−30 −1x −16y +2z =−48…

A: In this question we will use basic of algebra i.e solution of simultaneous equations. First we will…

Q: Solve ,  y" - 9y' + 12y = 0

A:

Q: Use the method of substitution to solve the system.

A: Given the equations y=20/(x2) and y=9-x2. We need to solve the above system of equations by the…

Q: Write the system of linear equations 3 lx – 6y + 6z 2x + 6y – 4z 5x +3y – 9z %3D - -2 -2 %3D

A: Steps to follow: 1) The coefficients of the x-terms are written as the numbers down the first…

Q: What happens to the equation x2 + y2 = r2 in a rotated x′y′-system?

A: Given- x2+y2=r2 To find- The transformed of the equation in x'y' plane. Concept Used- To find the…

Q: Use the back-substitution to solve the triangular system.

A: Given the triangular system of equations 2x−y+6z=5y+4z=0−2z=1

Q: Find all solutions of the system of equations.

A:

Q: Solve the system by using the elimination-by-addition method. 4х — 5у — 21 2.x + 7y = -37 - {(x, y)}…

A:

Q: Solve ,  y"-12y'+35y = 0

A: We have to solve  y" - 12y' + 35y = 0  (D2 - 12D + 35)y = 0 The auxiliary equation is  m2 - 12m + 35…

Q: Solve the System. Give answer as (æ, y, z). 2x + 3y + 5z = - 3 4а — Зу + 42 - - 21 – 8x Зу — 62 — 11…

A:

Q: Solve the set of equations by using Gauss or Gauss-Jordan elimination: -3x +2y-6z=6 5x +7y-5z=6 x+…

A:

Q: Convert the affferentral equaitrm in and Solve the System: (p²+180 +81 )y 0

A:

Q: Solve the System. Give answer as (x, y, z). 3x + 5y + 6z = 30 – 2x + 10y – 6z -28 - - 6x + 20y + 6z…

A: 3x + 5y + 6z = 30  ----(1) -2x + 10y - 6z = -28  ----(2) -6x + 20y + 6z = 12  -----(3)    From (2),…

Q: solve by Substitution the lineor System 2 즐x+y = 9

A:

Q: Use desmos to determine the solution to the system of equations

A: The graph is shown below:

Q: State whether the equation or system of equation is linear.

A: Given equation is x2+y2+z2=4. To determine whether equation is linear. Solution: A equation is a…

Q: the matsise into echelon 5oom Convert -2 6. -7 -3 -1 10 2.

A: Given a matrix C=2-221-360-11-7102 Make zeros in column 1 except the first entry at row 1 and column…

Q: Determine the solution of 4y" – 4y' + y = 0; y(0) = –2, y'(0) = 2

A:

Q: Use the method of substitution to solve the system.

A: Given that : The system, 3x - 4y + 20 = 0  3x + 2y + 8 = 0

Q: Solve the system using elimination. 4x + 5y = 2 -2x + 2y 8 %3D ([?], [ )

A: 4x+5y=2        →1-2x+2y=8    →2 Now, Equation 1+2·Equation…