Final answer:
To solve the system algebraically, use the method of substitution by solving for one variable in one equation and substituting it in the other equations. Finally, solve for the remaining variables.
Step-by-step explanation:
To solve the given system of equations algebraically, we can use the method of substitution or elimination. Here, we'll use the method of substitution.
Step 1: Solve the third equation for x in terms of y: x = -3 - y - z
Step 2: Substitute the value of x in the second equation: (-3 - y - z) + 2y + 4z = -10
Step 3: Substitute the values of x and y in the first equation: 2(-3 - y - z) + 4y + 8z = 0
Step 4: Simplify and solve for z. Then substitute z and y to find the corresponding values of x.
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