please help and show your work for a. b. c. and d.

Answer:
a.
3x + 5y = 15
3x + 5y - 5y = 15 - 5y
3x = 15 - 5y
[tex]\frac{3x}{3}[/tex] = [tex]\frac{15 - 5y}{3}[/tex]
x = [tex]\frac{15 - 5y}{3}[/tex]
b.
y = mx + b
y - b = mx + b - b
y - b = mx
[tex]\frac{y - b}{m}[/tex] = [tex]\frac{mx}{m}[/tex]
[tex]\frac{y - b}{m}[/tex] = x
c.
[tex]\frac{w-a}{b}[/tex] = y
[tex]\frac{w-a}{b}[/tex] × b = y × b
w - a = yb
[tex]\frac{w-a}{y}[/tex] = [tex]\frac{yb}{y}[/tex]
[tex]\frac{w-a}{y}[/tex] = b
c.
pV = nrt
[tex]\frac{pV}{nr}[/tex] = [tex]\frac{nrt}{nr}[/tex]
[tex]\frac{pV}{nr}[/tex] = t