Steps
- Standard form: Ax + By = C (A, B, and C are integers and A is nonnegative)
So firstly, we have to make the fractions integers (AKA whole numbers). To do this, we need to multiply both sides by the LCD (Lowest common denominator) of 7 and 8. In this case, the LCD is 56 so multiply that on both sides:
[tex]-\frac{2}{7}*\frac{56}{1}=-\frac{112}{7}=-16\\\\\frac{5}{8}*\frac{56}{1}=\frac{280}{8}=35\\\\56y=-16x+35[/tex]
Next, add both sides by 16x:
[tex]16x+56y=35[/tex]
Answer
In short, the equation in standard form is 16x + 56y = 35
