Answer:
x =3 and y =1
Step-by-step 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
Answer:
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
