, ,^ ALGfEBRA. 



la 



9. Let i(^s/ " * H"^'^ * ~ — "" "^ ^^ g^^'^^"^ » ^0 find >r. 



First, Si^a' ^^x' -^a^-^-x'^iia^ 



And then a;^« * -J-a; * r=^2 * — a;'^ 



And X^ X^' -|-.v' 1=^^— jc'fizrj^— 2a*iv''4..v^ 



Or fl * ;v * +;^ ' nzrt ^ — 2^ ^A; * -^-a; * 



"Whence « ' ;c ' + 2a ' ;c * ^a^ 



Or 3^^;;^=.^* ' ' 



«^ 

 And consequently a;*=: , 



And ;v=:^-— - zz^</-f . 



EXAMPLES FOR PRACTICE, 



1. Given .v-}-i8z:3A,' — f^ ; to find x\ Ans. A^rrui. 



2. Given 3;?— a+3z=rJ; to find y. Ans. yzn * 



3. Given 6— 2a;+ic::z:20 — 3.V— 2 ; to find x. 



Ans. ivz=2. 



4. Given 3<7AfH — -3=:^Ar — ^ ; to find X, 



6 — yi 



Ans. Arrz 



6^ — 2^ 



c. Given h "T ~i ^^^ > to find a;. 



" ^ ' aU 



Ans. x = 



bc-^-ac-^ab* 



SC *C "V 



6. Given — 4--^^ ---=t ; to find a;. Ans. x=:^, 



2*3 4 * ' ^ 



7. Given y/ia^/vrra+v^Af -, to find x. Ans, ^=4. 



8. Given 



