(Activity : Find the fraction.
Numerator x
Denominator y
If numerator is multiplied by 3 and
3 is subtracted from the denomina-
tor then the fraction obtained is
If numerator is increased by 8 and
denominator is doubled then the
18
resulting fraction is 5
2
Equation I
11x - 6y + 18 = 0
Equation II
x-y+8=0
.. Given fraction =
Verify the answer obtained.
Answers
Answered by
29
Step-by-step explanation:
numerator x
denominator y
a/q
11x-6y=-18 i
x-y=-8 multiply with 6
we obtain,
6x-6y=-48 ii
from I and 2 eq we get, by elimination
11x-6y=-18
6x-6y=-48
5x=30
x=6
substitute in eq 2
6(6) -6y=-48
36+48=6y
84=6y
y=14
hence the fraction is
6/14=3/7
Similar questions