Question

What is the answer to this equation 2 + 1/6y = 3x + 4

Answer 1

2 + 1/6y = 3x + 4
2 - 4 = 3x - 1/6y
-2 = 3x - 1/6y

But if you have to find x & y do this…

To solve for x. (Make y = 0)

3x - 1/6y = (-2)
3x - 1/6(0) = (-2)
3x - 0 = (-2)
3x = (-2)
x = (-2) / 3
x = -2/3 or -0.67

To solve for y. (Make x = 0)

3x - 1/6y = (-2)
3(0) - 1/6y = (-2)
0 - 1/6y = (-2)
-1/6y = (-2)
y = (-2) / -1/6
y = 12

Answer 2

When
`y=1`,
`x=(11)/(18)`

When
`x=1`,
`y=(1)/(30)`

Explanation:

`2 +  (1)/(6y) = 3x + 4`

`2 -4+  (1)/(6y) = 3x`

`-2= 3x-(1)/(6y)`

The only way to find the values for this equation is find values of
`x` and
`y` relative to each other.

That means we substitute a value for
`x` and find the value of
`y` for that particular
`x` value.

Let's find
`x` when
`y=1`:

`-2= 3x-(1)/(6y)`

`-2= 3x-(1)/(6*1)`

`-2= 3x-(1)/(6)`

`-2+(1)/(6)= 3x`

`(11)/(18)= x`

Therefore, when
`y=1`,
`x=(11)/(18)`

Let's find
`y` when
`x=1`:

`-2= 3x-(1)/(6y)`

`-2= 3*1-(1)/(6y)`

`-2= 3-(1)/(6y)`

`(1)/(6y)= 3+2`

`(1)/(6y)= 5`

`(1)/(6*5)= y`

`(1)/(30)= y`

Therefore, when
`x=1`,
`y=(1)/(30)`