Determine the intercepting point of the lines 3x + 4y = 11, -x + y = 11

The point of intersection of the two lines will satisfy
the equations of both the lines. Therefor this point can be found by solving the
equation of lines for x and y.

Given equation of lines
are:

3x + 4y = 11  ...  
(1)

-x + y = 11   ... 
(2)

Multiplying equation (2) by
3:

-3x + 3y == 33   ...  
(3)

Adding equations (1) and
(3):

3x - 3x + 4y + 3y = 11 +
33

==> 7y =
44

==> y =
44/7

Substituting this value of y in equation
(2):

-x + 44/7 = 11

==>
x = 44/7 - 11 = -
33/7

Answer:

Point of
intersection is (-33/7, 44/7)