An Introduction to Algebra, Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges

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4. Clear, the 1st of fractions, 12jc+&2/ + 6z = 1488 ) 5. Do. the2d, 20x-^15y + 12z=:2820\ 6. Do. the 3d, 30a:+24?/+20:r=4560 ) 7. Mult, the 4th by 2, 24a;-}- 16^-f 12z=2976 8. Subtract. 5th from 7th, Ax-^-y — lBQ 9. Mult, the 5th by 5, 100;i--h757/ + 60^= 14100 10. Mult, the 6th by 3, 90a.- -{- 72?/ -f 60^ = 13680 11. Subtract. 10th from 9th, 10a?+3i/=420 12. Transp. in the 8th y = 156— 4r 420-lO.r 13. Do. 11th, and divid. by 3, y= ^ 420 -lOa: 14. Mak. 12th and 13th equal, ^ = 156— 4Af 15. Cle...aring of fractions, he. «=24 16. By the 12th, 3/=156-4a: = 156-96=60.
17. By the 4tb, transp. Sec. ^=120.
X.
EQUATIONS. 161 Prsb. 22. Given To find x, y, and z.
(yz =200) Ans. x=30. 3/=20. 0=10.
334. The same method which is employed for the reduc- tion of three equations, may be extended to 4, 5, or any number of equations, containing as many unknown quanti- ties. The unknowTi quantities may be exterminated, one af- ter another, and the number of equations may be reduced by successive steps, from five to four, from four to three, from three to two, &ic.


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