Question

Z=b+m/a, solve for a

Answer 1

Answer:

$a=\frac{m}{z-b}$

Step-by-step explanation:

rewrite the equation so that $a$ is on the left:

$b+\frac{m}{a} =z$

subtract $b$ from both sides:

$\frac{m}{a}=z-b$

multiply each term by $a$:

$\frac{m}{a} (a)=z(a)-b(a)$

$m=za-ba$

rewrite again so that $a$ is on the left again:

$za-ba=m$

factor

$az-ba=m$

$a(z-b)=m$

divide each term by $z-b$ and simplify

$\frac{a(z-b)}{z-b} =\frac{m}{z-b}$

$a=\frac{m}{z-b}$

Answer 2

Answer:

$\boxed{\bold{a \ = \ \frac{m}{-b \ + \ z} }}$

Explanation:

Solve for a: z = b + m / a

[ Step 1: Multiply both sides by a ]

az = ab + m

[ Step 2: Add -ab to both sides ]

az + −ab = ab + m + −ab

−ab + az = m

[ Step 3: Factor out variable a ]

a(−b + z) = m

[ Step 4: Divide both sides by -b + z ]

a(-b + z) / -b + z = m / -b + z

a = m / -b + z