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| SOLVING
A SYSTEM OF EQUATIONS WITH THREE UNKNOWNS |
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Step 1: Eliminate
a variable.
Let’s eliminate x using Equation 1 (E1) and Equation
2 (E2) as shown:
| (E1) |
x + 4y – 2z = 3 → |
| |
x + 4y – 2z = 3 |
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| (E2) |
x + 3y + 7z = 1 → |
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-x – 3y – 7z = -1 |
x + 4y – 2z = 3
-x – 3y – 7z = -1
y – 9z = 2 (new
Equation 4)
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