Answer:
x = 1 and y = 1
Explanation:
2x/y + y/x = 3
3x - y = 2
we first of all get the simple equation from the two equations and in this case we will use substitution method
3x - y = 2
then we make y the subject of the formula
y = 3x - 2
let's use y on the top equation to substitute
2x/y + y/x = 3
2x/3x - 2 + 3x - 2/x
like terms cancel
thus:
2x/1 + 1/x = 3
3x -2x = 1
x = 1
AND
AND since we have x, we still use substitution method to find y
3x - 2 = y
3 (1) - 2 = y
3 - 2 = y
y = 1