how do i solve these unknown variables?

Question

P = 21 + 2w, solve for w

A = π r ^ 2h, solve for r

ab + bc = d, solve for b

A = b/2 + h/2 , solve for b

2x +3y = 5, solve for x

y - wy = m, solve for y

ab + a = 1 solve for a

xy + 5 = y -7, solve for y

xz^2 + xw^2 = xy^2 + 5, solve for x

s = p +prt , solve for r

please provide a solution tnx

Answer 1

P = 21 + 2w, solve for w

w=(P-21)/2



A = π r ^ 2h, solve for r

r = square root of A/π h



ab + bc = d, solve for b

b = d/(a+c)



A = b/2 + h/2 , solve for b

b = 2A - h



2x +3y = 5, solve for x

x = (5-3y)/2



y - wy = m, solve for y

y = m+wy



ab + a = 1 solve for a

a = 1/(b+1)



xy + 5 = y -7, solve for y

y = -12/(x - 1)



xz^2 + xw^2 = xy^2 + 5, solve for x

x = 5/(z^2+w^2-y^2)



s = p +prt , solve for r

r = (s - p)/pt

Answer 2

just manipulate the formula.





P = 21 + 2w, solve for w

2W = P - 21

W = ( P - 21) / 2 ---> answer







A = π r ^ 2h, solve for r

r ^ 2 = A / (πh)

r = sqrt [ A / (πh) ]







ab + bc = d, solve for b

b (a + c) = d

b = d / (a + c)







A = b/2 + h/2 , solve for b

b/2 = A - (h/2)

b = 2A -h







2x +3y = 5, solve for x

2x = 5 - 3y

x = (5 - 3y) / 2







y - wy = m, solve for y

y (1 - w) = m

y = m / (1 - w)







ab + a = 1 solve for a

a (b + 1) = 1

a = 1 / (b + 1)









xy + 5 = y -7, solve for y

y - xy = 7 + 5

y (1 - x) = 12

y = 12 / (1 - x)







xz^2 + xw^2 = xy^2 + 5, solve for x

xz^2 + xw^2 - xy^2 = 5

x (z^2 + w^2 + y^2) = 5

x = 5 / (z^2 + w^2 + y^2) -----answer







s = p +prt , solve for r

prt = s - p

r = (s - p) / (pt)

Answer 3

Answers:

P = 21 + 2w

2w = P - 21

w = (P - 21)/2 OR 0.5P - 10.5



A = πr²h

r² = A/πh

r = √(A/πh)



ab + bc = d

b(a + c) = d

b = d/(a + c)



A = b/2 + h/2

A = (b + h)/2

b + h = A/2

b = (A + 2h)/2 OR 0.5A + h



2x + 3y = 5

2x = 5 - 3y

x = (5 - 3y)/2 OR 2.5 - 1.5y



y - wy = m

y(1 - w) = m

y = m/(1 - w)



ab + a = 1

a(b + 1) = 1/(b + 1)



xy + 5 = y - 7

xy - y = - 12

y(x - 1) = - 12

y = - 12/(x - 1) OR 12/(1 - x)



xz² + xw² = xy² + 5

xz² + xw² - xy² = 5

x(z² + w² - y²) = 5

x = 5/(z² + w² - y²)



s = p + prt

prt = s - p

r = (s - p)/pt

Answer 4

make what you are solving for the subject on LHS

eg w=(P-21)/2 r=h(A/pi)^-1/2 b=d/(a+c) etc