Question 431736
You might see a relationship if you were to write these equations in slope-intercept form:
{{{5y+3x = 10}}}--->{{{y = (-3/5)x+10}}}
{{{3y-5x = 6}}}---->{{{y = (5/3)x+6}}}
Do you see that the slopes are negative reciprocals of each other?
Two lines whose slopes are negative reciprocals are perpendicular.