The ordered pair is a solution of x - y = 2 and 3y - x = 8 is (x, y) = (7, 5)
Solution:
Given two equations are:
x - y = 2 and 3y - x = 8
To find: orderes pair i.e (x, y)
Let us consider:
x - y = 2 ------- eqn 1
3y - x = 8 --------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "x" and "y"
On rearranging eqn 2, we get
-x + 3y = 8 ------ eqn 3
Add eqn 1 and eqn 3
x - y = 2
-x + 3y = 8
(+) ---------------
0 + 2y = 10
2y = 10
y = 5
Therefore from eqn 1,
x - y = 2
x - 5 = 2
x = 5 + 2 = 7
x = 7
Thus the ordered pair to the given equations are (x, y) = (7, 5)