Question 320368
Here you are given two equations and asked to find the value of x and y by eliminating one variable. On studying the two equations, we can see that 'x' has opposite signs in the two equations. So on adding the two equations, theyy will get eliminated and then  you can solve for y.


x+7y=23   ------------ (1)
-x+6y= 16 ------------ (2)
______________

Adding (1) and (2)

13y = 23 + 16
13y = 39

y = 39/13 = 3

Now put this value of y in either (1) or (2) to get the value of x.

ie. x + 7X3 = 23
    x + 21  = 23
    x   = 23 - 21 = 2
So the solution in x = 2 and y = 3.

[cross- checking
Put x = @ and y = 3 in (2)

-2 + (6X3) = -2 + 18 = 16 which is the same as the given value.]