Question

What is the solution to this system of equations? ⎧⎩⎨⎪⎪2x y−z=−35x−2y 2z=243x−z=5 responses (−1, 0, −8) begin ordered triple negative 1 comma 0 comma negative 8 end ordered triple (2, −6, 1) begin ordered triple 2 comma negative 6 comma 1 end ordered triple (4, 1, 8) begin ordered triple 4 comma 1 comma 8 end ordered triple (−5, 4, −3)

Answer 1

To find the solution to the system of equations, use the method of elimination to eliminate one variable at a time and solve for the remaining variables. The solution to this particular system of equations is (-1, 0, -8).

Step-by-step explanation:

To find the solution to the system of equations, we can use the method of elimination. Here are the steps:

1. Multiply the first equation by 5 and the second equation by 2 to make the coefficients of y the same in both equations.
2. Add the two equations together to eliminate y.
3. Substitute the value of y into one of the equations to solve for x.
4. Substitute the values of x and y into one of the equations to solve for z.

After following these steps, we find that the solution to the system of equations is (-1, 0, -8).