Question 211166
Strategy:
Put both equation into "point-slope" form to compare slopes:
y = mx + b
where
m is the slope
.
2x-5y=7
-5y=-2x+7
y = (2/5)x - 7/5
and
15y-5=6x
15y=6x+5
y=(6/15)x+5/15
y=(2/5)x+5/15
.
Since both lines have the same slope, the lines are parallel.