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" Equations of this kind may always be solved by finding the value of one of the unknown quantities in terms of the other from the simple equation, and substituting the result in the other equation. 1. Solve the equations j ^ ~ ** = 6^ 0> 1 x + 2y=7. "
A Complete Course in Algebra for Academies and High Schools - Page 233
by Webster Wells - 1885 - 349 pages
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...14ж-15ж-132 = — 124 -x= 8 Whence, x = — 8 Substituting this value in (3) , y = ~40+44 = 2 & BULE. Find the value of one of the unknown quantities in terms of the other from one of the given equations, and substitute t,his value for that quantity in the other equation. EXAMPLES....
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...y 65 x + y . ' 368. CASE II. When one equation is of the second degree, and the other of the first. Equations of this kind may always be solved by finding...the other from the simple equation, and substituting this value in the other equation. 1. Solve the eauations {2^-*y =6y. (1) 1 x +'2y = 7. (2) From (2),...
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College Algebra

Webster Wells - Algebra - 1890 - 604 pages
...124 -x= 8. Whence, x = — 8. Substituting in (3) , y = 2 RULE From one of the given equations find the value of one of the unknown quantities in te-rms of the other, and substitute this value in place of that quantity in the other equation. 197. III. Elimination by...
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New Common School Question Book: Comprising Questions and Answers on All ...

Asa Hollister Craig - Examinations - 1897 - 538 pages
...of the given equations. Form an equation by placing these two values equal to each other. 94. Find the value of one of the unknown quantities in terms of the other, from either of the given equations. Substitute the value for the same unknown quantity in the other equation....
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Elementary Algebra for the Use of Preparatory Schools

Charles Smith - Algebra - 1894 - 620 pages
...the second degree, can be solved in the following manner : From the equation of the first degree find the value of one of the unknown quantities in terms of the other unknown quantity and the knoivn quantities, and substitute this value in the equation of the second...
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Algebra for Schools and Colleges

William Freeland - Algebra - 1895 - 328 pages
...... y = l. Substitute in (1), x + 3 = 27. .-. ж = 13. 182. Hence, to eliminate by comparison : Find the value of one of the unknown quantities in terms of the other in each equation ; make a new equation from the equal vulues thus obtained. From this new equation...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1904 - 384 pages
...4^-^=5 а(За-46). 277. CASE II. When one equation is of the second degree, and the other of the first. Equations of this kind may always be solved by finding...the other from the simple equation, and substituting this value in the other equation. 1. Solve the equations (2^-^ = 6?. (1) 7. (2) From (2), 2y = 7-x,отy...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 384 pages
...equation is of the second degree, and the other of the first. Equations of this kind may always Ъе, solved by finding the value of one of the unknown...the other from the simple equation, and substituting this value in the other equation. 1. Solve the equations Í 2 ^ - жУ = 6 У- (1) From (2), 2 у =...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 386 pages
...m. „ -15-17 -4. firiViatitnfiTinr t.ha valiip nf v. in RULE. From one of the given equations find the value of one of the unknown quantities in terms of the other, and substitute this value in place of that quantity in the other equation. EXAMPLES. Solve by the method...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...Substitute for у in (3), x = 36 ~ 26 = 2 о Hence, in general, Jn one о/ ¿Ле given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity ; Substitute this value in the other equation and solve. EXERCISE 56. Solve by substitution....
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