New Elementary Algebra, Embracing the First Principles of the Science

Cover New Elementary Algebra, Embracing the First Principles of the Science
New Elementary Algebra, Embracing the First Principles of the Science
Charles Davies
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A; = 10, y = 20.
116 Having explained the principal methods of elimina- tion, wo shall add a feAv examples which may be solved by any one of them ; and often indeed, it may be advantageous to emj)loy them all, even in the same example.
GENERAL EXAMPLES.
Find the values of x and y in the following simultaneous equations : 1. 2a; 4- 3y = 16, and 3a; — 2y = 11.
Ans. A; = 5, y =• 2.
ELIMINATION, 1« 2, L _ii = _- and ■ — ~ z=. — ft ^ 4 20* 4^5 120 A 1 1 3. ? + 7y = 99, and ^ + 1x = 51.
Ans. 25 == 7,
... y = 14 4. 1-12=1 + 8. ^l + l-S = 'l^ + . 1.
6.
4o* * - ly + y = C} uln«. A; = 60, y = 40. A; = 6.
--- + 7. = 41 ia; - 2^ + 4iy = 12} j 5 3y»~ g, 2a; - y 6 "^ 4 6a;-y + ?-^ = ^^^ j '3a; - 8 y — 6 Ans.
Ans.
Ans, + "—T- + y = 18 TT 8.^ 9.
8a - 3 — 6 - y 79 4j; — 4 V — 5 ix-iy + V-* Ans.
Ans.
y = 8 a; = 6.
y = s.
a; = 9.
y=8.
X = 10.
y= 12 x=:e.
y = 5.
\/ / 142 10.
ELEMENTARY ALGEIJllA.
c -\- ab — bd X = A71S.
ax — by = c a — y -^r X = d a — b y z= a^ + c — ad a — b J J j IS-T + Ty- 341 :=.


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