Q) If 2x + y = 13 and 4x – y = 17, find the value of (x – y).

Ans:

We are given the following equations:
2 x + y = 13 …. (i)
4 x – y = 17 …. (ii)

Step 1: To calculate values of x and y, let’s add both the equations:

(2 x + y) + (4 x – y) = 13 + 17

∴ 6 x = 30

∴ x = = 5

Step 2: by substituting value of x = 5 in equation (i), we get:

2 x + y = 13

∴ 2 (5) + y = 13

∴ y = 13 – 10 = 3

Step 3: Let’s calculate value of x – y:

Therefore, x – y = 5 – 3

∴ x – y = 2

Therefore, relation between x and y is given by x – y = 2.

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