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M1 Basics
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T. Tsujioka
Advanced Seminar
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M1 Basics

Chapter 4. Systems of Simultaneous Equations

4-1. By Substitution Method

Consider solving the following simultaneous equations:
Example 4-1.

Form (1), we have x = 3 −2y. If this x is substituted into (2), we obtain:
  3(3 −2y) − 4y = −1 ⇔ 9 −10y = −1,
from which we can solve for y:
  y = 1.
Then, substituting this value into (1) or (2), we obtain x:
  x = 1.
Ans. x = 1, y = 1.
[You may write as (x, y) = (1, 1) as long as the answer is shown without ambiguity.]

 

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