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Answers
Step-by-step explanation:
Given -
2x + x-y/6 = 2
x - 2x+y/3 = 1
To Find -
Value of x and y
Now,
→ 2x + x-y/6 = 2
→ 12x + x - y/6 = 2
→ 13x - y = 12 ..... (i)
And
→ x - 2x+y/3 = 1
→ 3x - 2x + y/3 = 1
→ x + y = 3 ...... (ii)
Now,
Solving (i) and (ii) :-
→ 13x - y = 12
x + y = 3
__________
→ 14x = 15
→ x = 15/14
Now,
Substituting the value of x on x + y = 3, we get :-
→ y = 3 - 15/14
→ y = 42 - 15/14
→ y = 27/14
Hence,
The value of x is 15/14 and y is 27/14.
Verification :-
- 13x - y = 12
→ 13(15/14) - 27/14 = 12
→ 195/14 - 27/14 = 12
→ 195-27/14 = 12
→ 168/14 = 12
→ 12 = 12
LHS = RHS
And
- x + y = 3
→ 15/14 + 27/14 = 3
→ 15+27/14 = 3
→ 42/14 = 3
→ 3 = 3
LHS = RHS
Hence,
Verified...
It shows that our answer is absolutely correct.
Answer:
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