Key to Greenleaf's Algebra
Key to Greenleaf's Algebra
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In our eReader you can find the full English version of the book. Read Key to Greenleaf's Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Key to Greenleaf's Algebra
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To quickly assess the difficulty of the text, read a short excerpt:
2. Transposing, 2z=25— 3y.
3. Dividing, s=12— y — ^.
4. Changing terms, £=12— 2y-f 5. Substituting, w=^X-.
2 INDETEBMINATE ANALYSIS. 189 6. Clearing of fractions, 2»=y+l.
7. Transposing, y=2w— 1.
8. Putting the value of y into (4), x=12— 2(2rc— l)+n.
9. Uniting terms, a=14 — 3rc.
Let n = 1, then a: = 11, and y = 1.
7i = 2, " s = 8, " y = 3.
n = 3, " a; = 5, " y = 5.
n = 4, " a: = 2, « y = 7.
That is, 11 two-dollar bills, and 1 three-dollar bill; or, 8 two- dollar bills, and 3 three-dollar bills... ; or, 5 two-dollar bills, and 5 three-dollar bills ; or, 2 two-dollar bills, and 7 three-dollar bills.
proof: 11X2+1X3=25.
8x2+3x3=25.
5X2+5x3=25.
2X2+7X3=25.
Ex. (7.) Let x = the bushels of corn, and y e= the bushels of wheat.
1. Then, by conditions, 70s+190y=920.
2. Dividing by 10, = 7a+19y=92.
3. Transposing, 7s=92— 19y.
4. Dividing, a:=13— 2y ^-£.
5. Changing terms, z=13 — 2y — z— — .
6. Substituting, n=-z— — .
7. Clearing of fractions, 7n=5y — 1.
8. Transposing, 5y=77i+l.
What to read after Key to Greenleaf's Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2. Transposing, 2z=25— 3y.
3. Dividing, s=12— y — ^.
4. Changing terms, £=12— 2y-f 5. Substituting, w=^X-.
2 INDETEBMINATE ANALYSIS. 189 6. Clearing of fractions, 2»=y+l.
7. Transposing, y=2w— 1.
8. Putting the value of y into (4), x=12— 2(2rc— l)+n.
9. Uniting terms, a=14 — 3rc.
Let n = 1, then a: = 11, and y = 1.
7i = 2, " s = 8, " y = 3.
n = 3, " a; = 5, " y = 5.
n = 4, " a: = 2, « y = 7.
That is, 11 two-dollar bills, and 1 three-dollar bill; or, 8 two- dollar bills, and 3 three-dollar bills... ; or, 5 two-dollar bills, and 5 three-dollar bills ; or, 2 two-dollar bills, and 7 three-dollar bills.
proof: 11X2+1X3=25.
8x2+3x3=25.
5X2+5x3=25.
2X2+7X3=25.
Ex. (7.) Let x = the bushels of corn, and y e= the bushels of wheat.
1. Then, by conditions, 70s+190y=920.
2. Dividing by 10, = 7a+19y=92.
3. Transposing, 7s=92— 19y.
4. Dividing, a:=13— 2y ^-£.
5. Changing terms, z=13 — 2y — z— — .
6. Substituting, n=-z— — .
7. Clearing of fractions, 7n=5y — 1.
8. Transposing, 5y=77i+l.
What to read after Key to Greenleaf's Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Greenleaf to read onlineMoreLess
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