Question

What’s b = 3x + 9xy ? Solving the equation for x.

Answer 1

Answer:

x= $\frac{b}{3+9y}$ .

Step-by-step explanation:

Given :  b = 3x + 9xy.

To find :  Solving the equation for x.

Solution : We have given

b = 3x + 9xy.

Taking common 3x from right hand side

b = 3x ( 1 + 3y).

On dividing both sides by 1 + 3y .

$\frac{b}{1+3y}$ = 3x

On dividing both sides by 3

$\frac{b}{(3+9y)}$ = x .

Therefore, x =$\frac{b}{(3+9y)}$ .

Answer 2

x = b/(3 + 9y)

Further explanation

$\boxed{ \ b = 3x + 9xy \ }$

In the equation, there are three variables, namely b, x, and y. The coefficients of x and xy are 3 and 9, respectively.

We need solving for x from the equation.

Let us reposition it by swapping sides. The aim is to prepare x as the subject on the left-hand side.

$\boxed{ \ 3x + 9xy = b \ }$

On the left-hand side, 3x is pulled out of the brackets because it is the GCF (The Greatest Common Factor) of 3x and 9xy.

$\boxed{ \ 3x(1 + 3y) = b \ }$

Both sides divided by 3(1 + 3y).

$\boxed{ \ x = \frac{b}{3(1 + 3y)} \ }$

Hence, the final result is

$\boxed{\boxed{ \ x = \frac{b}{3 + 9y} \ }}$

That's all the steps to get x as a subject.

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Keywords: what’s b = 3x + 9xy?, solving the equation for x, solve for x, both sides, divide, GCF, subject, steps, b/(3 + 9y)