Question 153946
1.{{{5x – 4y = 1}}}
2.{{{-10x + 8y = -3}}}
Multiply eq. 1 by 2 and add to eq. 2,
{{{2(5x-4y)+(-10x+8y)=2(1)+(-3)}}}
{{{10x-8y-10x+8y=-1}}}
{{{0=-1}}}
The system is inconsistent, there is no solution.
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Graphically, you see the lines are parallel, hence never meet, no solution.

{{{ graph( 300, 300, -2, 2, -2, 2, (5x-1)/4,(10x-3)/8) }}}