Question

literal equations digital escape!
sign in to google to save your progress. learn more

• indicates required question

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

Explanation:

Step1: Isolate term with $b$

Subtract $d$ from both sides:
$a - d = bc$

Step2: Solve for $b$

Divide by $c$:
$b = \frac{a - d}{c}$
Matches option F.

Step3: Isolate term with $b$

Subtract $d$ from both sides:
$ab = c + d - d$
$ab = c$

Step4: Solve for $b$

Divide by $a$:
$b = \frac{c}{a}$
Matches option B.

Step5: Isolate term with $b$

Multiply both sides by $b$:
$cd = ab$

Step6: Solve for $b$

Divide by $a$:
$b = \frac{cd}{a}$
Matches option B.

Step7: Isolate term with $b$

Subtract $a$ from both sides:
$bc = d - a$

Step8: Solve for $b$

Divide by $c$:
$b = \frac{d - a}{c}$
Matches option H.

Answer:

FB BH (or combined as FBBH, matching the 4-letter code requirement)