Answer:
The standard form is [tex]10x-12y=3[/tex]
Step-by-step explanation:
Given: [tex]y= \frac{5}{6}x - \frac{1}{4}[/tex]
We will use LCD to solve it.
Now, solving it by taking LCD of 6 and 4 to get 12.
[tex]y = \frac{5x\times 2 - 1\times 3}{12} = \frac{10x - 3}{12}[/tex]
Multiplying both sides by 12, we get
[tex]12y=\frac{10x - 3}{12}\times 12\\12y=10x-3[/tex]
Now, adding 3 to both sides and subtracting [tex]12y[/tex] from both sides, we get
[tex]12y-12y+3=10x-12y-3+3\\3=10x-12y\\or\ 10x-12y=3[/tex]
Therefore, the standard form of the given equation is [tex]10x-12y=3[/tex]
