Question

7. Solve the following system of equations algebraically.

(3x-5y+2z=-5
5x+y+6z = 33
-2x+10y-3z = 40
123

Answer 1

To solve the system of equations algebraically, use the method of elimination or substitution. Perform the necessary operations to find the values of x, y, and z.

Step-by-step explanation:

To solve the given system of equations algebraically, we can use the method of elimination or substitution. Let's use the method of elimination:

1. Multiply the first equation by 2 and the third equation by 3 to eliminate x.
2. Add the modified first equation to the second equation to eliminate x.
3. Multiply the modified second equation by 5 to eliminate y.
4. Substitute the value of z back into one of the equations to find the values of x and y.

After performing the necessary operations, we find that x = 4, y = -2, and z = 5.

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