determine whether the pair of equations represents parallel lines

4x=5y-5
10y=10-8x

Solve for y in each case.

Be sure to write the equations in the forms of y = mx+b

m = slope. If the slopes are the same, then the lines are parallel.

To determine if the pair of equations represents parallel lines, we need to compare their slopes.

Let's write both equations in the slope-intercept form (y = mx + b), where m is the slope, and b is the y-intercept:

Equation 1: 4x = 5y - 5
Rearranging the equation, we get:
5y = 4x + 5
Dividing by 5, we get:
y = (4/5)x + 1

Equation 2: 10y = 10 - 8x
Rearranging the equation, we get:
10y = -8x + 10
Dividing by 10, we get:
y = (-4/5)x + 1

Now we can see that both equations have a slope of (4/5). Since the slopes are equal, the pair of equations represents parallel lines.