334 AlGEBRi. 



RULE 2. 



If the unknown term be multiplied by any. quantlty^^ 

 that quantity may be taken away by dividing all the other 

 terms of the equation by it. 



Thus, if aX=ab — a, then wiU ATzzr^ — I. 

 And if 2 a: -|- 4=1 6, then will a:-1-2Zz8, and x=zz^-rr-2 

 rr6. 

 In like manner, if ax-^2baz=:2c*i then will x-^\bz:z 



'- — , and A^= —2^. 



a a 



RULE 3. 



If the unknown term be divided by any quantity, that 

 quantity may be taken away by multiplying all the other 

 terms of the equation by it. 



Thus, If - =5-l"3> ^^" will A;::i:io-|-5==:i^. 



And, if - zzh'X'C — dy the^ will XZZab'Ar^'^ — ^d. 

 a ■ ■ 



In like manner, if •2Zz6-f-4> ihen will 2a;-i— 5=q 



3 

 ^8+12^ and 2^=184-12+6=36, or A:=;y=i8, 



. RULE 4. 



The unknown quantity in any equation may be made 

 free from surds by transposing the rest of the terms ac- 

 cording to the rule, and then involving each side to such a 

 power, as is denoted by the index of the said surd. 



Thus, if \/ X — 2=6, then will Y/Arl=6+2=:r8, and 

 ;f=8'=i:64. 



And, if v'4«-i" i^= 12, then will 4;f-J~i6=: 144, ami 



128 



4!tf=i:i44 — i6i:ri28, or ^= — 32. 



4 



In 



