Using transposition in solving a formula.?

Question

By using transposition, make V the subject of this formula:

X = R ( E-V ) / V

The whole formula on the right hand side R(E-V) is over the V, thankyou.

Answer 1

VX = RE - VR
VX + VR = RE
(V) (X + R) = RE
V = RE / (X + R)

Answer 2

1) make c the subject Q= sq rt [ (c+d) / (c - d) ] Square both sides: Q^2 = (c + d) / (c - d) Multiply both sides by (c - d): (c - d) * Q^2 = (c + d) Distribute Q^2: cQ^2 - dQ^2 = c + d Transpose all terms with c to the left; all other terms to the right: cQ^2 - c = dQ^2 + d Factor out c from the terms on the left: c(Q^2 - 1) = dQ^2 + d Divide both sides by (Q^2 - 1): c = (dQ^2 + d) / (Q^2 - 1) OR c = d(Q^2 + 1) / (Q^2 - 1) 2) Make x the subject [ ( x+ y) / 3 ] = ( [ ( x - y ) / 7 ] + 2 ) Multiply each term by 21, the least common multiple of the denominators 3 and 7: 21[ ( x+ y) / 3 ] = 21[ ( x - y ) / 7 ] + 21(2) 7(x + y) = 3(x - y) + 42 Distribute: 7x + 7y = 3x - 3y + 42 Transpose all terms with x to the left; all other terms to the right: 7x - 3x = -7y - 3y + 42 Collect similar terms: 4x = -10y + 42 Divide both sides by 4: x = (-10y + 42) / 4 Simplify further by factoring out -2 from the numerator and canceling: x = -2(5y - 21) / 4 x = -(5y - 21) / 2

Answer 3

X = R(E - V)/V

multiply with V

XV = R(E - V)

XV = RE - RV

add RV on both sides

XV + RV = RE

take V common on LHS

V(X + R) = RE

divide by (X + R)

V = RE/(X + R)

Answer 4

X=R(E-V)/V
multiply by V on both sides:
XV=RE-RV
Add RV to both sides:
XV+RV=RE
Factor out a V: V(X+R)=RE
Now to get V alone, divide both sides by (X+R):
V=(RE)/(X+R)