Solve the pair of equations :
2-3 = 11, 5.4.-7
X y X y
Hence, find the value of 5x - 3y.
Answers
Answered by
1
Solve the pair of equations :
2-3 = 11, 5.4.-7
X y X y
Given,
2x - 3y = 11 ..........(1)
5x + 4y = -7 ............(2)
5 × (1) - 2 × (2) gives,
x = 1
y = -3
Verification:
2x - 3y = 11
= 2(1) - 3(-3)
= 2 + 9
= 11
5x + 4y = -7
= 5(1) + 4(-3)
= 5 - 12
= - 7
To find:
5x - 3y
= 5(1) - 3(-3)
= 5 + 9
= 14
∴ 5x - 3y = 14
Answered by
1
Step-by-step explanation:
Given Solve the pair of equations :
- 2/x + 3/y = 11 , 5/x - 4/y = -7
- Given 2/x + 3/y = 11 and 5/x – 4/y = - 7
- We need to solve the given simultaneous equations.
- So 2/x + 3/y = 11 multiply by 5
- 5/x – 4/y = - 7 multiply by 2
- So we get 10/x + 15/y = 55
- 10/x – 8/y = - 14
- Upon subtracting we get
- 15/y + 8/y = 69
- 69y = 23
- Or y = 23/69
- Or y = 1/3
- Now 2/x + 3/y = 11
- 2/x + 3/1/3 = 11
- 2/x + 9 = 11
- 2/x = 2
- Or x = 1
Now 5x – 3y will be 5(1) – 3(1/3) = 5 – 1 = 4
Reference link will be
https://brainly.in/question/15932003
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