How do you solve for b in 3ab–z = y(4ab +2z)?

1 Answer
Feb 14, 2016

You must first distribute the parentheses.

Explanation:

3ab - z = 4aby + 2yz

Put the terms containing b on one side of the equation.

3ab - 4aby = 2yz + z

Factor out the b.

b(3a - 4ay) = 2yz + z

b = (2yz + z)/(3a - 4ay) or b = (z(2y + 1))/(a(3 - 4y))

Practice exercises:

  1. Solve for x.

a) (2x + 3y)/(4x - y) = (x + 3y)/(2x - 5y)

b). (2x + 3y + 2z) / x + (4x - 5y + 3z)/y = (x - 3y - 2z)/z

Good luck!