Final answer:
To solve systems of equations, enter them into a calculator or computer software, use the appropriate solve function, and present the calculated solutions in decimal form rounded to one decimal place.
Step-by-step explanation:
To solve the given systems of equations using technology, input the equations into a calculator or computer program that can handle systems of linear equations, like a graphing calculator or a software like MATLAB or Python. Most calculators and computer algebra systems require the coefficients and constants to be entered exactly, and they will perform the calculations to obtain the solution, which you can then round to the desired decimal places.
For the three-variable system:
- Enter the equations exactly as they are given.
- Use the calculator's or software's solve function.
- Round the solution to one decimal place as required.
For the four-variable system:
- Again, enter the equations with precise coefficients.
- Apply the appropriate function to solve for x, y, z, and t.
- Present the solutions as decimals rounded to one decimal place.
In both cases, the number of decimal places in the answer should reflect the precision of the smallest decimal place in the original equations for addition and subtraction, while for multiplication and division, the number of significant figures in the answer should match the smallest number of significant figures in the figures given.