Question

Solve 1/36 = 6x−3. for Algebra 2

Answer 1

To solve the equation we proceed as follows:
1/36=6x-3
multiplying both sides of the equation we obtain:
36×1/36=(6x-3)×36
simplifying we obtain
1=216x-108
solving for x we put like terms together
1+108=216x
109=216x
dividing both sides by 216 we get
109/216=(216x)/216
simplifying gives us:
x=109/216

Answer 2

Answer:

$\frac{109}{216}=x$

Step-by-step explanation:

The given equation is:

$\frac{1}{36}=6x-3$

Solving the above equation, we get

⇒$\frac{1}{36}+3=6x$

⇒$\frac{1+108}{36}=6x$

⇒$1+108=216x$

⇒$109=216x$

⇒$\frac{109}{216}=x$

Which is the required simplified form.

Thus, the value of x is $\frac{109}{216}$.