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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