Question 243032
First, multiply everything by 10 to get rid of the decimals.
EQ. 1:  21x - 9y = 150
EQ. 2:  -14x + 6y = 100
...
Divide EQ. 1 by 3:  7x - 3y = 50
Divide EQ. 2 by 2: -7x + 3y = 50
...
This is a disturbing pair of equations because they are just too similar.
Consider -7x + 3y = 50 can be written as -(7x - 3y) = 50.
Given 50 = 50 (a tautology), we now can say:
7x - 3y = -(7x - 3y), which seems a contradiction in terms.
...
Perhaps they're parallel, in which case there is no solution.  
We can test this theory putting them in slope intercept form.
...
EQ 1.
7x - 3y = 50
-3y = -7x + 50
{{{y =(-7/-3)x + (50/-3)}}}
which is simply...
{{{y = (7/3)x - 50/3}}}
...
EQ 2.
-7x + 3y = 50
3y = 7x + 50
{{{y = (7/3)x + 50/3}}}
...
So we have parallel lines, so there is no solution to the system of equations.