Explanation:
3x + y = 11 ...(1)
2x - y = 4 ...(2)
From equation (1) we get,
3x + y = 11
x = 11 - y/3
Now, put the value of x = 11 - y/3 in equation (2) we get,
2x - y = 4
2(11 - y/3) - y = 4
22 - 2y/3 - y = 4
22 - 2y - 3y = 12
22 - 5y = 12
5y = 22- 12
5y = 10
y = 10/5
y = 2
Now, Put the value of y = 2 in equation (1)
3x + y = 11
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Thus, The value of x is 3 and y is 2
FOR VERIFICATION ONLY:
3x + y = 11
3(3) + 2 = 11
9 + 2 = 11
11 = 11
2x - y = 4
2(3) - 2 = 4
6 - 2 = 4
4 = 4
Hence, L.H.S = R.H.S
-TheUnknownScientist