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Wed 4 May, 2005 02:37 am
could someone help me with this algebra question?????
any answers (even if they are wrong..haha) will be accepted with the greatest grattitude
anyways......
here it is......
SOLVE THE FOLLOWING PAIR OF SIMULTANEOUS EQUATIONS USING THE ALGEBRAIC METHODS :- (I) SUBSTITUTION METHOD (II)ELIMINATION METHOD
2x - y = - 4
x + 2y = 3
Read your textbook and follow the examples.
1) 2x-y=-4
2) x+2y=3
double eqn 1
2[2x-y=-4] becomes 4x-2y=-8
add doubled eqn 1 to eqn 2
[4x-2y=-8]+[x+2y=3]=(4x+x)+(-2y+2y)=(-8+3)
this becomes 5x+0y=-5 or 5x=-5
now divide [5x=-5] by 5 and x=-1
put this value of x into eqn 2 [x+2y=3] and this becomes
[-1+2y=3] rearrange and [2y=3+1=4 or 2y=4
divide this by 2 and y=2
so the solution by substitution and elimination is x=-1 and y=2
now check the solution x=-1 y=2
1) 2x-y=-4 becomes 2(-1)-2=-2-2=-4 ok
2) x+2y=3 becomes -1+2(2)=-1+4=3 ok
Rap