Z times a equals a plus B divided by m solve for a
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
Z times a equals a plus B divided by m
Solve for a.
Solution:
In order to solve for a, we first need to represent the statement in a numerical equation.
Za = a + b/m
Transpose za and b/m to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
a - Za = -b/m
Factor out a from the equation.
a (1 - Z) = -b/m
Divide 1- Z on both sides of the equation in order to cancel out a (1 - z) leaving behind a.
a (1 - Z)/(1 - Z) = -b/m(1-Z)
a = -b /m(1-Z)
Final answer:
a = -b /m(1-Z)