| Joseph Ficklin - Algebra - 1874 - 418 pages
...one of the given equations, an expression for tJie value of the unknown quantity to be eliminated, **and substitute this value for the same unknown quantity in the other** equation; there will thus be formed a new equation containing only one unknown quantity. EXAMPLES.... | |
| 1875
...Substituting this value of x in (3), we obtain (7), or у = 3. Hence, RULE. Find an expression for **the value of one of the unknown quantities in one of the equations, and substitute this value** fur the same unknown quantity in the other equation. NOTE. — After eliminating, the resulting equation... | |
| Edward Olney - Arithmetic - 1876 - 294 pages
...BY SUBSTITUTION. 193. RULE. — 1. Having two simple equations between two unknown quantities, find **the value of one of the unknown quantities in one of the equations,** in terms of the other unknown quantity, and known terms, and substitute this in the other equation.... | |
| William Frothingham Bradbury - Algebra - 1877 - 269 pages
...2. Substituting this value of x in (3), we obtain (7), or y = 3. Hence, RULE. Find an expression for **the value of one of the unknown quantities in one...this value for the same unknown quantity in the other** equation. NOTE. — After eliminating, the resulting equation is reduced by the rule in Art. 102. The... | |
| William Frothingham Bradbury, James Howard Eaton - Algebra - 1877 - 269 pages
...2. Substituting this value of x in (3), we obtain (7), or y = 3. Hence, RULE. Find an expression for **the value of one of the unknown quantities in one of the equations, and substitute this value for** tJie same unknown quantity in the other equation. NOTE. — After eliminating, the resulting equation... | |
| Shelton Palmer Sanford - Algebra - 1879 - 332 pages
...andy = l. From the foregoing illustrations we derive the following RULE.— Find an expression for **the value of one of the unknown quantities in one...substitute this value for the same unknown quantity in the** otJier equation; we shall thus have an equation containing only one unknown quantity, the value of... | |
| William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 414 pages
...or у = 3. Hence, the following RuIe. Find an expression for the value of one of the unknown numbers **in one of the equations, and substitute this value for the same unknown** number in tlu', other equation. NOTE. After eliminating, the resulting equation is reduced by the rule... | |
| William Frothingham Bradbury, Grenville C. Emery - Algebra - 1894 - 128 pages
...or y — 5. Hence the following Rule. Find an expression for the value of one of the unknown numbers **in one of the equations, and substitute this value for the same unknown** number in the other equation. This method of elimination is called substitution. NOTE 1. After eliminating,... | |
| William J. Milne - Algebra - 1899 - 154 pages
...quantity be eliminated from two simultaneous equations by substitution ? RULE. — Find an expression for **the value of one of the unknown quantities in one of the equations.** Substitute this value for the same unknown quantity in the other equation, and solve the resulting... | |
| Joseph Ray - 1848 - 240 pages
...subtraction. ELIMINATION BY SUBSTITUTION. ART. 158. — Elimination by substitution, consists in finding **the value of one of the unknown quantities in one of the equations,** in terms of the other unknown quantity and known terms, and sub stituting this, instead of the quantity,... | |
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