If 3/x+4y=7 and 5/x+6y=13, Find x and y by elimination method.
yuvrajisbest:
X=1\5 & y= -2
Answers
Answered by
9
Step-by-step explanation:
3/x+4y=7
5/x+6y=13
3+4xy=7x --------(1)
5+6xy=13x...........(2)
multiplying eqn (1) ×5 and eqn (2) ×3 and subtracting the results
15+20xy=35x
15+18xy=39x
_________________
×. +2xy= -4x
2xy=-4x
2y. = -4
• y. = -2
putting value of y in (1)
3+4xy=7x
3+4x×(-2)=7x
3=7x+8x
3=15x
3/15=x
•x=1/5
Answered by
11
Answer :-
3/x + 4y = 7 ...(i)
5/x + 6y = 13 ...(ii)
By multiplication of 3 in equation (i) and
By multiplication of 3 in equation (i) and 2 in equation (ii)
→ 9/x + 12y = 21 ..(iii) .
→ 10/x + 12y = 26 ...(iv)
Now equation (iv) - (iii)
10/x + 12 y = 26
- 9/x -12y = 21
_________________
1/x = 5
So Value of x = 1/5
Now by putting Value of x in equation (i)
3 × 1/x + 4y = 7
3 × 5 + 4 y = 7
15 + 4y = 7
4 y = -8
y = -2 .
So Value of
x = 1/5
y = -2
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