Verwandte Artikel zu First Principles of Algebra; An Introduction to the...
First Principles of Algebra; An Introduction to the Author's Complete, or University Algebra - Softcover
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1881 edition. Excerpt: ...equation. Solving, 3x+2a--b=e, or 3x=e+b--2a, e+b--2a, and x =---i, Anna s age. c+b--%a e+b+a-, .., Hence x+a--= 1-a----5--, Eliza s age. o o, . e+b+a. c + a--2b T and x+a--b=-- -----0= 5, Lucy s age. o o Applying these results to Ex. 1 of the preceding set, a = 3,6--7 nd e as 17. e+b--%a 17+7--2-3.., Hence =-= 6, Anna s age. o o e+b+a 17+7+3, g--, = 5 =9, Eliza 8 age. o o c+o--26 i7+3_2-7 and = $ =2, Lucy s age. 2. If you give a cents more to James, he will have b timet as many as he now has. How many has he? Having obtained the answer in the literal notation, deduce that of Ex. 2, in the preceding set, by substituting the values there given. a Ana., -l. 3. What number must be added to itself and a more, that the sum may be b times that number? Apply to Ex. 3 above. 4. Make an example like Ex. 4 of the preceding set, using a instead of the 30, and b instead of the 4. Why is the answer to this just like the answer to Ex. 2? 5. A man can shingle one ath of the roof of a house in one day, and a boy one bthoi it in a day. How many days will it take for both, working together, to shingle the roof? Suggestion.--One ath is expressed-. The equation is-+--s=l. The answer is--r. Apply to Ex. 5 of the preceding set. 6. How many times one with, one rath, and one rth, does it take to make a whole one? mnr 7. Make and solve an example like Ex. 7 of the preceding set, using m, n, and r, for the numbers instead of 3, 8, and 24. How is this example different from the preceding? 8. Make and solve an example like Ex. 8 of the preceding, using a, b, and c, instead of 4, 5, and 3. Ans., He had 7. He gave away 7 9. If an--th part of some number be taken from n r an y-th part of the same number, the remainder will be d. What is the...
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