Question

(x+y,x-2y)=(4,1), find x and y

Answer 1

x = 3, y = 1

Explanation:

Equate the x and y coordinates of the given points

x + y = 4 → (1)

x - 2y = 1 → (2)

Subtract (2) from (1) term by term to eliminate x

0 + y - (- 2y) = 4 - 1

y + 2y = 3

3y = 3 ( divide both sides by 3 )

y = 1

Substitute y = 1 into (1) for corresponding value of x

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Answer 2

x =3 and y =1

Explanation:

( x+y , x-2y) = (4 , 1)

compare their corresponding elements

x+y = 4

y = 4 - x equation (i)

x-2y =1

substitute the value of x

x - 2(4 - x) =1

x - 8 + 2x =1

3x = 1 +8

x = 9/3

x = 3

Now substitute the value of x in equation (i)

y = 4 - x

y = 4 - 3

y = 1