solve by elimination method
plz help
solve this
plzz......!!!!!!
Answers
Step-by-step explanation:
Given -
- 8/x - 9/y = 1
- 10/x + 6/y = 7
To Find -
- Value of x and y
Now,
→ 8/x - 9/y = 1
→ 8y - 9x/xy = 1
→ 8y - 9x = xy ..... (i)
And
→ 10/x + 6/y = 7
→ 10y + 6x/xy = 7
→ 10y + 6x = 7xy .... (ii)
Now,
Solving (i) and (ii) by elimination method :-
→ [ 8y - 9x = xy ] × 2
[ 10y + 6x = 7xy ] × 3
→ 16y - 18x = 2xy
30y + 18x = 21xy
______________
→ 46y = 23xy
→ x = 2
Now,
Substituting the value of x on 10y + 6x = 7xy, we get :-
→ 10y + 6(2) = 7×2×y
→ 10y + 12 = 14y
→ 14y - 10y = 12
→ 4y = 12
→ y = 3
Hence,
The value of x is 2 and y is 3
Verification :-
8y - 9x = xy
→ 8(3) - 9(2) = 2 × 3
→ 24 - 18 = 6
→ 6 = 6
LHS = RHS
And
10y + 6x = 7xy
→ 10(3) + 6(2) = 7×2×3
→ 30 + 12 = 42
→ 42 = 42
LHS = RHS
Hence,
Verified...
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Answer:
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