Final answer:
To solve the system of equations x + y + z = 4, 4x + ay - y - 24 - 3z = 30, and -2x - 6y + 5z = -7, we can use the method of substitution or elimination.
Step-by-step explanation:
To solve the system of equations x + y + z = 4, 4x + ay - y - 24 - 3z = 30, and -2x - 6y + 5z = -7, we can use the method of substitution or elimination.
Using substitution, we can solve the first equation for x and y in terms of z and substitute them into the other equations:
- x = 4 - y - z
- 4(4 - y - z) + ay - y - 24 - 3z = 30
- -2(4 - y - z) - 6y + 5z = -7
Simplifying these equations will give us the values of x, y, and z.