Rewrite y=1/6x-5 in Ax+By=C form.

I have a whole work sheet of these could someone show me an example to solve this or direct me through this! Thank you~

the capital letters means whole numbers , and A must be positive

multiplying by 6 (to clear fraction) ... 6y = x - 30

subtracting x ... -x + 6y = -30

multiplying by -1 (to make A positive) ... x - 6y = 30

thank u sm!

Usually you can do these in 2 steps.

1. If you see fractions, multiply each term by the LCD
in this case that would be 6
If you have no fractions , go to step 2

y=1/6x-5 ----> 6y = x - 30

2. Bring the x and y terms to one side, and the constant to the other side

x - 6y = 30

Here is another example

y = (-2/3)x + 1/5
LCD = 15
15y = -10x + 3

10x + 15y = 3

and thank u too!

To rewrite the equation y = (1/6)x - 5 in the Ax + By = C form, you need to get rid of the fraction first. The Ax + By = C form requires the coefficients A and B to be integers.

Step 1: Multiply every term in the equation by 6 to eliminate the fraction:
6y = 6 * (1/6)x - 6 * 5

Simplifying gives:
6y = x - 30

Step 2: Rearrange the equation to isolate y on one side:
x - 6y = 30

Now the equation is in the Ax + By = C form, where A = 1, B = -6, and C = 30.