Answer
The equations have the same slopes, and the same y-intercepts.
Therefore, the equations are dependent, there is infinite solutions.
Work Step by Step
First equation:
$5x=-2y+1$
$2y=-5x+1$
$y=-\frac{5}{2}x+\frac{1}{2}$
Second equation:
$10x=-4y+2$
$4y=-10x+2$
$y=-\frac{10}{4}x+\frac{2}{4}=-\frac{5}{2}x+\frac{1}{2}$
This means that the equations have the same slopes, and the same y-intercepts.
Therefore, the equations are dependent, there is infinite solutions.