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. 1857 Excerpt: ...hand corner below, we have c V c' 6th. o" b" c 5th. a b 4th. a' The product of the terms in each of these lines will give the negative terms of the common denominator. We can write the respective numerators from the common denominator by changing a into d, a' into d', and a" into d" for the numerator in the value of x; ...
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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. 1857 Excerpt: ...hand corner below, we have c V c' 6th. o" b" c 5th. a b 4th. a' The product of the terms in each of these lines will give the negative terms of the common denominator. We can write the respective numerators from the common denominator by changing a into d, a' into d', and a" into d" for the numerator in the value of x; 6 into d, V into d', and b" into d" for the numerator in the value of y; and c into d, c' into d', and c" into d" for the numerator in the value of z. It is not necessary that the student should in practice make the omissions which we did above, for we can get from v= 9 22=14--4y 22 = 14--4: 2 = 5. Note.--The student should accustom himself to apply the general formula which has been given, so that it may be called up at any time. It will often save much labor, as will be proved to be the case in some of the following examples. There are many curious properties which belong to the general formula for the values of the unknown quantities as deduced from three simultaneous equations. But we leave them to be discovered by the student. EXAMPLES. (x+y +2 =29, -a; + 2y + 32=62, Y to find the values of x, y, and z. Am. x=8, y=9, 2=12. to find the values of x, y, and z. Am. x=l, y=2, 2=3. 1, Given J-to find the values of x, y, and z. Note.--This example is the same as Ex. 10, but the answer is in another form, indicating that it has been solved in a different manner. The student may observe that the expressions in the brackets are identical. Also, in the value of x, the letters which are not included in the brackets are only those which occur in the first equation; in the value of y, only those that occur in the second equation; and in the value of z, only those that occur in the third equation. Because these va...
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Add this copy of An Algebra: Designed for the Use of High Schools, to cart. $67.74, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
