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Solve the system of equations'x-y + 9z = -27?

A) x = -2, y = 5, z = -4
B) x = 1, y = 3, z = 2
C) x = -3, y = 4, z = -2
D) x = 2, y = -1, z = 3.

1 Answer

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Final answer:

To solve the given system of equations x - y + 9z = -27, use the substitution method and substitute the values of x, y, and z from each option into the equation. Option A) x = -2, y = 5, z = -4 satisfies the equation.

Step-by-step explanation:

To solve the given system of equations x - y + 9z = -27, we can use the method of substitution or elimination.

Let's use the method of substitution. From the given options, we can substitute the values of x, y, and z from each option into the equation and check which option satisfies the equation.

After substituting the values, we find that option A) x = -2, y = 5, z = -4 satisfies the equation x - y + 9z = -27. Therefore, the correct answer is A) x = -2, y = 5, z = -4.

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