3^-f ' ALGEBRA. 



AfjSCELLANEOUS EX/IMPLES, 



1. Given • -|- 8^'=:3i, and — j-ioATir: 19a ; to 



3 4 



find .V and J. Ans. a'= 19 and ^ = 3. 



2x — -J -Sy-f-x- 



2. Given [-i4=i3> and \ri6=.i(^ ; ta 



2 3 



find i: and )•• Ans. a- = 5 andjj;=2. 



3. Given - — -: 1 =3, and ' ■ yz=: 11.; to 



63 2 



find .V and y. Ans. a^=:6 and ;;rr8. 



4. Given ^A;-f-'^7=:^> nnd dx-\'ey—f\ to find a; and j?. 



ce lif af- — dc 



Ans.- a;= ~ and v=r -. 



at' — do ae-'^db 



PROBLEM II. 



Td exterminate three unhmivn quantities y or to reduce the three 

 simple equations containing them to one. 



RULE. 



1. Let .V, y and s, be the three unknown quantities to 

 be exterminated. 



2. Find the value of K from each of the three given 

 equations. 



3. Compare the first value of .r v/ith the second, and 

 an equation vi^ill arise involving only y and %» 



4. In like manner, compare the first value of x with 

 the thirds and another equation will arise involving only v 

 and z. 



5. Find the values of y and % from these two equations, 

 according to the former rules, and a:, y and 2 will be ex* 

 terminated as required. 



Note. Any number of unknown quantities may be ex- 

 terminated in nearly tjie same manner, but there are often 



much 



