Question

can you solve for the variable and type the correct code? please remember to type in all caps with no spaces.
puzzle #4
1: solve for $d$: $\frac{ab}{d}+c=e$
2: solve for $d$: $ab - cd = e$
3: solve for $d$: $ad + b = ce$
4: solve for $d$: $cd - ab = e$
answer choices
a: $\frac{b - ce}{a}$ b: $\frac{ce - b}{a}$ c: $e + abc$
d: $ec - ab$ e: $\frac{e + ab}{c}$ f: $\frac{ab - e}{c}$
g: $\frac{abe}{c}$ h: $\frac{ab}{e - c}$ i: $\frac{ab}{c + e}$
type the 4-letter code into the answer box. all caps, no spaces.
your answer

Explanation:

Step1: Isolate the fraction

$\frac{ab}{d} = e - c$

Step2: Cross-multiply to solve for d

$ab = d(e - c)$
$d = \frac{ab}{e - c}$
This matches option H.

Step3: Isolate the term with d

$-cd = e - ab$

Step4: Solve for d

$cd = ab - e$
$d = \frac{ab - e}{c}$
This matches option F.

Step5: Isolate the term with d

$ad = ce - b$

Step6: Solve for d

$d = \frac{ce - b}{a}$
This matches option B.

Step7: Isolate the term with d

$cd = e + ab$

Step8: Solve for d

$d = \frac{e + ab}{c}$
This matches option E.

Answer:

H F B E