| Olinthus Gregory - 1863
...equations, will lead to the determination of the first unknown quantity. 2. Find the value of either **of the unknown quantities in one of the equations, and substitute this value for** it in the other equation : so will the other unknown quantity become known, and then the first, as... | |
| Paul Allen Towne - Algebra - 1865 - 298 pages
...Find, in either of the equations, the value of one of the unknown quantities in terms of the other, **and substitute this value for the same unknown quantity in the other** equation. (3.) From the equation thus formed, find the value of the letter involved. (4.) Substitute... | |
| Joseph Ray - Algebra - 1866 - 240 pages
...Comparison. 8d. Elimination by Addition and Subtraction. 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 substituting this, instead of the quantity,... | |
| Joseph Ray - Algebra - 1866 - 240 pages
...Comparison. 3d. Elimination by Addition and Subtraction. 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 substituting this, instead of the quantity,... | |
| Joseph Ray - Algebra - 1852 - 396 pages
...subtraction. ELIMINATION BY SUBSTITUTION. ART. 156. 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 •ubstituting this, instead of the quantity,... | |
| Horatio Nelson Robinson - Algebra - 1866 - 312 pages
...gives the value of x in known terms. Reducing, we obtain x = 3. Hence, the following RULE. I. Find **the value of one of the unknown quantities in one of the** given equations. II. Substitute this value for the same unknown quantity in the other equation. EXAMPLES... | |
| William Frothingham Bradbury - Algebra - 1868 - 252 pages
...z=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... | |
| Joseph Ray - Algebra - 1866 - 406 pages
...Comparison. 3d. Elimination by Addition and Subtraction. 156. Elimination by Substitution consists in finding **the value of one of the unknown quantities in one of the equations, and** substituting this value in the other equation 2d Bk. fl* To explain this method, let it bo required... | |
| Daniel Barnard Hagar - Algebra - 1873 - 263 pages
...find x and y. Ans. x — 9; y =4219. Rule for Elimination by Substitution. — 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 equation.... | |
| Horatio Nelson Robinson - Algebra - 1874 - 312 pages
...gives the value of x in known terms. Reducing, wo obtain x = 3. Ilence, the following RULE. I. Find **the value of one of the unknown quantities in one of the** given equations. II. Substitute this value for the same unknown quantity in the other equation. EXAMPLES... | |
| |