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66 notes on algebra.
Example 2.
3 + S + 10
10
10
* = 2TV
Example 3.
= 12 x ( l-f- + e)
= 12X( 7^-)
x = 9S
Example 4.
8 — 3 , 8 + 10
= 12 X —5— + ~tt-
o
12X "3- + -F
.r = 20 + 6
x =26
Example 5.
= ( —2
— X (8 — 3)+ V^O 4- 16) X
= (—2~~ x 5 + V:36"
J
X 2
^=(6X5 + 6) X 2
.* = 36 X 2
jc = 72
When an equation consists of more than one unknown quan-
tity, as many equations may be arranged as there are unknown
quantities, and one equation is solved so that the value of one of
its unknown quantities is expressed in terms of the other, and
this value is substituted in the other equation.
Example.
Two shafts are to be connected by two gears of 16 diam-
etral pitch ; the distance between centers is 6% inches. The
ratio of gearing shall be 1 to 3. How many teeth in each gear?
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