Question 57386
Hi dnn,
If possible, express answer as ordered pair x,y, of linear equation.

L1) 3x - 5y=1
L2) 10y=6x -1
Put L2) into standard form {{{highlight(Ax+By=C)}}}and I'll show you how to solve this using the elimination method.
L2) -6x+10y=-6x+6x-1
-6x+10y=-1
This is now your system:
L1) 3x-5y=1
L2) -6x+10y=-1
Multiply L1) by 2 and add L1 and L2.
L1) 2(3x-5y=1)-->> 6x-10y=2
:
L1)  6x-10y=2
L2) -6x+10y=-1
_______________
0x+0y=1
0=1  
Your variables were both eliminated but 0 does not = 1.  This system has no solution.  Graphically these lines are parallel and will never intersect, see:
{{{graph(300,200,-.625,.625,-.625,.625,(-3x+1)/-5,(6x-1)/10)}}}
Happy Calculating!!!