Question 423668
solve the system of equations what is the solution set



x + 5y = 6
x = 7 - 5y


7 - 5y + 5y = 6 {substituted (7 - 5y), in for x, into top equation}
7 = 6 {the variable disappeared and a false statement is the result}
= no solution


Whenever the variable disappears and you get a statement that is never true
then. there is "no solution".  In other words, the two lines never meet, or are parallel.


Whenever the variable disappears and you get a statement that is always true
then, there are "infinite solutions".  In other words, the two lines are the same,
having infinite intersecting points. 
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