 | Charles Vyse - Arithmetic - 1785 - 350 pages
...hence_y— ==5, as before. 3. Or, laftly, let the given Equations be multiplied or divided by fuch Numbers or Quantities, whether known or unknown, that the -Term which involves the higheft Power of the unknown Quantity to be exterminated, may be the fame in each Equation, and then,... | |
 | Paul Deighan - Arithmetic - 1804 - 504 pages
...whence y— l,a= 5, as before. Or, l.iHly, let the given equations be multiplied or divided by fuch numbers or quantities, whether known or unknown, that the term which involves the higheft power of the unknown quantity to be exterminated, may be the fame in each equation, then by... | |
 | Charles Vyse - Arithmetic - 1806 - 342 pages
...60 — 5y + == 50 ; and from hence y — _ =5, as before. m 3. Or, lastly, let the given Equatious be multiplied or divided by such Numbers or Quantities,...each Equation ; and then, by adding or subtracting the Equations, as Occasion shall require, that Term shall vanish, and a new Equation emerge, wherein... | |
 | Samuel Webber - Mathematics - 1808 - 466 pages
...find x and y. Ans. x=60, and y=40. 6. Given c : b : : ^ : y, and x5 — y3=d; to find * and y. RULE 3. Let the given equations be .multiplied or divided by such numbers, or quantities, as will make the term, which contains one of the unknown quantities, to be the same in both equations... | |
 | Nicolas Pike - Algebra - 1808 - 470 pages
...or a'u* rf1 -- + u'2= f, or a1!/1 ti1!!1 =fi*, or u1 = --- , therefore u = , and r= -^ RULE 3. — Let the given equations be multiplied or divided by such numbers or quantities as will make the term, which contains one of the unknown quantities, to be the same in both equations,... | |
 | John Bonnycastle - Algebra - 1811 - 230 pages
...and y. -iIns. z-=60, and y = 40. 7. Given a:b:ix:y, ar.J x2—y3—d, to find x and y. I1ULE III. 1. Let the given equations be multiplied or divided by such numbers or quantities as will make the term which contains one of the unknown quantities the same in both equations. 2. Then,... | |
 | John Bonnycastle - Algebra - 1813 - 456 pages
...Therefore «у + Ъ°у* = b°c, or yz = — — т;, Hence у =bV-^, and я = e^^p. « < t RULE in. Let the given equations be multiplied, or divided, by such numbers, or quantities, as will make the term that contains one of the unknown quantities the same in them both; then, by adding,... | |
 | Charles Vyse - Arithmetic - 1815 - 340 pages
...wrote in the room of its equal OJT; whence will be had, 60 — and from hence y— — =5, as before. 3. Or, lastly, let the given equations be multiplied...each equation; and then, by adding or subtracting the equation, as occasion shall require, that term shall vanish, and a new equation emerge, wherein... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...have a*ya-\-b'y3=bac, or y*= a And, consequently, y=V,la *""1d x ==a v'RULE III. Let one or both of the given equations be multiplied, or divided, by such numbers, or quantities, as will make the term that contains one of the unknown quantities the same in each of them ; then,... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...Ans. ar=6, and y=4. 8. -w 4 O o 4 to find x and y. Ans. ar=60, and y=ZQ. RULE III. Let one or both of the given equations be multiplied, or divided, by such numbers, or quantities, as will make the term that contains one of the unknown quantities the same in each of them ; then,... | |
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... then, by adding, or subtracting, the two equations thus obtained, as the case may require, there will arise a new equation, with only one unknown quantity in it, which may be resolved as before. 