Question

if x+y=12 and x-y=10 then y=?

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Answer 1

Answer:

If x + y = 12 and x – y = 10, then the value of y is 1.

Step-by-step explanation:

The pair of linear equations in two variables are :

➺ x + y = 12 . . . . . ➊

➺ x – y = 10 . . . . . ➋

Let's get the value of 'x' from (1) :

➺ x + y = 12

➺ x = 12 – y

Now, substituting the above value of 'x' in (2) :

➺ x – y = 10

➺ (12 – y) – y = 10

➺ 12 – y – y = 10

➺ – 2y = 10 – 12

➺ – 2y = – 2

➺ y = – 2/– 2

➺ y = 1

Therefore, the value of 'y' is 1.

Substituting this value of 'y' in (1) to get 'x' :

➺ x + y = 12

➺ x + 1 = 12

➺ x = 12 – 1

➺ x = 11

Therefore, the value of 'x' is 11.