Use technology to solve the system of equations. Express all solutions as decimals, rounded to one decimal place.
1.6x	 + 	2.4y	 − 	3.2z	 = 	0.9
5.1x	 − 	6.3y	 + 	0.6z	 = 	2.3
4.2x	 + 	3.5y	 + 	4.9z	 = 	0.9


The solution to the system of equations is:

- \( x = 0.4 \)
- \( y = 0.0 \)
- \( z = -0.1 \)

Let me know if you'd like more details or have any questions.

Here are 5 related questions to explore:
1. How would the solution change if one of the coefficients were altered?
2. Can you verify the solution by substituting the values back into the original equations?
3. How does changing the rounding precision affect the interpretation of the solution?
4. What are the benefits of solving systems of equations using matrices?
5. How would this system of equations be solved using Gaussian elimination?

**Tip:** When solving a system of equations, verifying the solution by substituting it back into the original equations ensures correctness.

Use technology to solve the system of equations. Express all solutions as decimals, rounded to one decimal place.
1. 1.6x + 2.4y − 3.2z = 0.9
2. 5.1x − 6.3y + 0.6z = 2.3
3. 4.2x + 3.5y + 4.9z = 0.9

Learn how to solve a system of three equations with three unknowns using technology. This guide walks you through using Gaussian elimination and other matrix operations to find the solutions x = 0.4, y = 0.0, and z = -0.1, rounded to one decimal place. Suitable for high school students in Grades 10-12.

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