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Solving Linear
Equations
(Feb 14, 2005)
with & then without stick diagrams plus
solving word problems; and solving systems: - essentially one
unknown, essentially triangular & general
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A. Letters and Lengths
B. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E Substitution Methods
F. Two More Methods
G. Larger Systems
H. Exercises to Try
Read them in order
(i) x + 20 = 29 WS
(ii) 2x + 6 = 24 WS
(iii) 3x + 10 = 32 WS
(iv) 5a + 16 = 3a+ 24 WS
(v) (½)x + 8 = 24½ WS
(vi) (¾)a + 16 = (¼)a+ 24 WS
(vii) (¾)q + 17 = 32 WS
(viii) 13 =[2/3]x +7 twice WS
(5/6)q + 8+(5/6) = 14 + (2/3) WS
Proper Use of Equal Sign
Up
A. Letters and Lengths
B. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E Substitution Methods
F. Two More Methods
G. Larger Systems
H. Exercises to Try
| | 2D Gaussian Elimination - Two More Forms
There are three elimination methods for solving systems (sets) of
linear equations
Learn all three, and watch for situations in which one requires less work
than the others. The last method only works for linear systems (sets) of
simultaneous equations.
Remember to check your answers by making sure all the
equations in the systems being solved, the original one, are satisfied.
If the check fails, you have made a mistake in obtaining the answer or doing
the check. If you answer differ from someone else's, at least one of you has
made a mistake, possibly both. Here there is a difference between the method
for checking answers and the methods for obtaining answers.
First Animated Example
Second Animated Example
Remember to check your answers by making sure all the
equations in the systems being solved, the original one, are satisfied.
If the check fails, you have made a mistake in obtaining the answer or doing
the check. If you answer differ from someone else's, at least one of you has
made a mistake, possibly both. Here there is a difference between the method
for checking answers and the methods for obtaining answers.
First Animated Example
Second Animated Example
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