Question

Solve 1/36 = 6x−3. for Algebra 2

Answer 1

`(109)/(216)=x`

Explanation:

The given equation is:

`(1)/(36)=6x-3`

Solving the above equation, we get

⇒
`(1)/(36)+3=6x`

⇒
`(1+108)/(36)=6x`

⇒
`1+108=216x`

⇒
`109=216x`

⇒
`(109)/(216)=x`

Which is the required simplified form.

Thus, the value of x is
`(109)/(216)`.

Answer 2

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