This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 Excerpt: ... years. Find the amount of the investment and the rate of interest. 20. A, B, and C are at various times engaged to do certain equal pieces of work. B and C together complete the work in 2 hours; C and A in 1 hours; A and B in 1 hours. In what time can each do the work alone, and in what time can all three do the work? ...
Read More
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1908 Excerpt: ... years. Find the amount of the investment and the rate of interest. 20. A, B, and C are at various times engaged to do certain equal pieces of work. B and C together complete the work in 2 hours; C and A in 1 hours; A and B in 1 hours. In what time can each do the work alone, and in what time can all three do the work? SUMMARY OF CHAPTER VI: SIMULTANEOUS LINEAR EQUATIONS, pp. 159-180 Figure: two intersecting straight lines. A nswers: pair of values at point of intersection. A Igebraic Solution, Method I: remove one letter by addition or sub-traction. Elimination: any process for removing one letter. 86, pp. 159-163. Formal Rule, Method I, by Addition or Subtraction: essentially, multiplication of both sides of each equation by the coefficient of one letter in the other; Exercises I. 87, pp. 163-165. Impossible Case: figure, parallel lines; no answers; contradictory conditions, revealed by attempt to solve; Exercises II. 88, pp. 165-168. Equivalent Equations: figure, coincident lines; answers, one pair of solutions given by any point on the line. intersecting") Classification of Equations: Correspondence of one solution to parallel lines coincident J Exercises III. 89, pp. 168-169. no solution many solutions. Solution by Substitution (Method II): essentially, solve one equation for one letter and substitute this value in the other; Exercises IV. 90, pp. 170-171. Solution by Comparison (Method III): essentially, solve each equation for one of the letters and equate the values found; Exercises V. 91, pp. 172-173. Three Unknowns: elimination of one letter, reduction of problem to two equations in two unknowns; Exercises VI. 92, pp. 173-175. English Problems: solution of typical examples; Exercises VII. §...
Read Less
