−3*x*−6*y*+4*z*=

−8

minus, 3, x, minus, y, plus, 2, z, equals, 10

−3*x*−*y*+2*z*=

10

3, x, plus, 4, y, minus, 3, z, equals, 1

3*x*+4*y*−3*z*=

1

You seem to have provided a system of three equations. Let's clean them up to make them clearer:

1. \( -3x(-6y) + 4z = -8 \)
2. \( -3x(-y) + 2z = 10 \)
3. \( 3x + 4y - 3z = 1 \)

Now, let's simplify each equation:

1. \( -3x(-6y) + 4z = -8 \) simplifies to:  
   \( 18xy + 4z = -8 \)

2. \( -3x(-y) + 2z = 10 \) simplifies to:  
   \( 3xy + 2z = 10 \)

3. \( 3x + 4y - 3z = 1 \) (no simplification needed).

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This is the simplified system of equations:

1. \( 18xy + 4z = -8 \)
2. \( 3xy + 2z = 10 \)
3. \( 3x + 4y - 3z = 1 \)

Would you like to solve this system, or do you need further clarification on how I simplified the equations?

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Here are 5 follow-up questions to deepen your understanding:

1. Would you like to solve the system of equations using substitution or elimination?
2. Are you looking to find specific values for \(x\), \(y\), and \(z\)?
3. Would you like a step-by-step explanation of solving systems of equations?
4. Should I express the solution in terms of one variable if no unique solution exists?
5. Do you need any help with related algebraic concepts such as factoring?

**Tip:** When simplifying equations, pay close attention to signs (positive and negative) to avoid errors.

−3*x*−6*y*+4*z*= −8 minus, 3, x, minus, y, plus, 2, z, equals, 10 −3*x*−*y*+2*z*= 10 3, x, plus, 4, y, minus, 3, z, equals, 1 3*x*+4*y*−3*z*= 1

Learn how to solve a system of three equations involving variables x, y, and z. This problem includes algebraic simplification and solving techniques such as substitution and elimination, suitable for students in Grades 9-12.

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