To solve the first equation:

50*(v-173) = 2500

Divide both sides by 50:

v - 173 = 50

Add 173 to both sides:

v = 223

So, v = 223

To solve the second equation:

1748 ÷ w + 77 = 123

Subtract 77 from both sides:

1748 ÷ w = 46

Multiply both sides by w:

1748 = 46w

Divide both sides by 46:

w = 38

So, w = 38