Question 352206
System of equations (lines) can have either no solution, 1 solution or infinitely many solutions.

-x-3y=3
x-6y= 5
Solve second equaiton for x by adding 6y to each side, so you get
a) x=5+6y. Now plug that into the first equation for x so you get
-(5+6y)-3y=3. Now distribute the minus and you get 
-5-6y-3y=3. Add like terms and you get
-5-9y=3. Add 5 to each side of the equation and you get
-9y=8. Divide each side by -9 and you get
y=-8/9.  Now you plug that into the equation i market with letter a).
So {{{x=5+6(-8/9)=5-16/3=(15-16)/3=-1/3}}}. Thus you have only one solution to this problem, which is the point (-1/3,-8/9). The "solution" in lenear equations means thats where the two lines intersect/cross each other.