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.