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SHOT # SHOT NARRATOR
1 Simultaneous linear equations
2 are a pair of equations that work together-‐-‐that is,
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3 the variables in one equation
4 are the same as the variables in another equation.
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5By solving for a variable in one equation, you can solve both equations.
6 Here's how simultaneous linear equations work.
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7Kate can win points by tossing rings around these bottles.
8 Different color combinations are worth different points.
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9Kate wants to know how much each bottle is worth on its own.
10 If two red and two green are forty points,
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11 then Kate can divide by two
12 to find that one red and one green are twenty points.
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13She's closer to knowing how many points each color is worth, but isn't there yet.
14 She needs to work
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15 with the other equation.
16 Subtracting one red and one green
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17 leaves two red
18 worth thirty points,
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19 so one red
20 must be worth
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21 fifteen points.
22
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23Remember how one red and one green are worth twenty points?
24 Now we
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25 can see that green
26 is worth five points.
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27
28 We can express the process we've just described
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29 in algebraic terms
30 with two
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31 simultaneous linear equations.
32 Then, we simplify where
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33 we can…
34 line them up,
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35
36 subtract
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37 to
38 eliminate a variable…
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39
40 and solve
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41 for the other
42 variable.
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43
44
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45
46 Now we know the value of one variable,
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47 we can solve
48 for the other variable.
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49
50
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51
52
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53 By solving this pair
54 of linear
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55 equations,
56 we find the
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57 answer to Kate's question.