A Complete Course in Algebra for Academies And High Schools.

Cover A Complete Course in Algebra for Academies And High Schools.
A Complete Course in Algebra for Academies And High Schools.
Webster Wells
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185. 1. Solve the equations | 7ic - 3^/ = - 62 (1) ^ l2y-DX= 44 (2) Transposing 5 a; in (2), 2 ?/ = 5 a; + 44 /-. 5 a? + 44 /o\ ^1*' y = — ^ — (^) Substituting this in (1), 7x-3f^^^^^\ = - 62 Or, 7a. -i^^±i^ = - 62 Clearing of fractions, 14a; - 15aj — 132 = — 124 — a;= 8 Whence, a; = — 8 Substituting this value in (3), y= —^^+44 ^ ^ ' ^ns. A; = — 8, y = 2.
1^6 ALGEBRA.
RULE.
rms Find the value of one of the unknown quantities in tey of the other from one of the given equations^ and substitut th
...is value for that quantity in the other equation, EXAMPLES. Solve the following b}^ the method of substitution : 2.
( x-^ y= 7, \Sx + 2y=19, 8.
(5x-i-7y = -19. 1 4a; + 5?/ = —14.
3.
(3x- y= 10. 1 x + 4y = -l.
9.
jlOo;- 7y= 9. 1 4^-15a; = -7.
4.
( Sx-4. Y = 2. \2x-5y = 6.
10.
1 Gx-5y = -'7, \\Ox-^Sy= 11.
5.
^7x-2y= 8. LSy-bx = -9, 11.
(9x + 2y = 15. \4x-\-7y= 3.
6.
( 9x — 4:y = — 4:, ll5a?-f 8^ = — 3.
12.
( 8x-{- 7y = -2S. \by-12x = -12.
7.
(2x-7y= 8. \4y-9x=19.
13 ( 7y-3x=lS9, \2x + 6y= 91.


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