Lectures and Quick Notes(1.2)
Chapter
Chapter 1
Section
Lectures and Quick Notes(1.2
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Lectures 4 Videos
  • Linear systems mean there are 2 or more equations, but typically 2, where there are more than 1 unknown.
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Section Intro

Isolating a variable for substitution method

ex From 6a + 5b = 12, isolate the variable a.

Therefore, a = 2 - \dfrac{5}{6}b

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Isolating Variable when there are Two

Substitution method ex1

Solve for (x, y) when

\displaystyle \begin{cases} x + y = 3 \\ 2x - y = -1 \end{cases}

solution

\displaystyle (x, y) = (\frac{2}{3}, \frac{7}{3})

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2.47mins
Substitution method ex1

Substitution method ex2

Solve for (x, y) when

\displaystyle \begin{cases} 3x + 10y = 12 \\ 2x - 7y = 2 \end{cases}

solution

\displaystyle (x, y) = (\frac{104}{41}, \frac{18}{41})

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4.37mins
Substitution method ex2