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

x =1 and y =3

Step-by-step explanation:

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

compare their corresponding elements

x+y = 4

x = 4 - y            equation (i)

x-2y =1

substitute the value of x

(4-y)-2y =1

4-y+2y =1

4 -y =1

4-1 =y

3=y

Noe substitute the value of y in equation (i)

x = 4 - y

x = 4 - 3

x=1

x = 3, y = 1

Step-by-step 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

good luck!

cutie~

ou would have 12 of each