Question

What is the solution to this system of equations ? x+y+ z = 3 3x-4y+2z= -28 -x+5y +z = 23​

Answer 1

To solve the system of equations, use the elimination method to eliminate one variable, substitute the value of the eliminated variable into one of the original equations, and solve for the remaining variables.

Step-by-step explanation:

To solve the system of equations:

x + y + z = 3

3x - 4y + 2z = -28

-x + 5y + z = 23

1. Use elimination method to eliminate one variable from two equations. Multiply the second equation by -1 and add it to the first equation to eliminate z.
2. Multiply the third equation by 3 and the second equation by -1/2 to create a new system of equations. Use these equations to eliminate z.
3. With z = -5, find the values of x and y by substituting z in one of the original equations.

The solution to the system of equations is x = 5, y = -1, z = -5.