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Systems of linear equations in three variables — Homework
Label your equations and show which pair you combined at each step.
- 1.Solve: x+y+z=5, 2x+y-z=0, x-2y+z=11.
- 2.Solve: x+y+z=9, x-y+z=3, x+y-z=1.
- 3.Which pair of equations did you combine first in the second problem, and what variable did it eliminate right away?
- 4.A vendor sells small ($5), medium ($8), and large ($12) candles: 60 candles sold for $580 total, with mediums sold at 3 times the smalls. Set up the system (do not solve).
- 5.In 2-3 sentences, explain how solving a 3-variable system is similar to, and different from, solving a 2-variable system.
🌲 Homeschool of the FutureEleventh Grade · Math · week 6 homework