What is the solution of the two equations x - y = 5 and 2x + y = 1?
- {(2,-3)}
- {(2,3)}
- {(3,2)}
- None of these
Explanation
To solve the system of equations:
x - y = 5 ... (1)
2x + y = 1 ... (2)
Multiply equation (1) by 1 and equation (2) by 1:
x - y = 5
2x + y = 1
Add both equations:
3x = 6
Divide by 3:
x = 2
Substitute x into equation (1):
2 - y = 5
Subtract 2 from both sides:
-y = 3
Multiply by -1:
y = -3
The solution is:
{(2, -3)}
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اس سوال کو وضاحت کے ساتھ پڑھیں
- 2.5
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