Question 377179
x-y = 5...equation 1    
x+2y=7....equation 2


x - y = 5

-y = -x + 5


y = (-x + 5)/-1


y = x - 5


Plug (x - 5) for y into equation 2 and solve for x.


x + 2y = 7 

x + 2(x - 5) = 7

x + 2x - 10 = 7


3x - 10 = 7


3x = 7 + 10


3x = 17


x = 17/3


We now plug 17/3 into EITHER equation 1 or 2 to find the value of y.


I will use x - y = 5 but you can use the other equation if you'd like.


17/3 - y = 5


-y = 5 - 17/3


-y = -2/3


y = -2/3 divided by -1


y = 2/3

Final answer: x = 17/3 and y = 2/3 which can also be written as a point in the form (17/3, 2/3).

That is the point where the two lines meet on the coordinate plane.

Understand?