Question

Which ordered pair is a solution of x-y=2 and 3y-x=8

Answer 1

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)