Case facts: Y=326.2x- 241.6
What is the standard form of the linear model?
The answer is: 1631x-5y= 1208
Please explain step by step how this is the answer.
man, there are only about two steps:
y = 326.2x - 241.6
collect x and y stuff on the left:
326.2x - y = 241.6
now multiply by 5 to clear the decimal points:
1631x - 5y = 1208
How did you know to multiple by 5?
well, I could have multiplied by 10, since there was 1 decimal place. But I could see that that would have produced even numbers, which would then have to be divided by 2 to avoid redundancy of factors.
To find the standard form of a linear model, we need to rewrite the equation in the form Ax + By = C, where A, B, and C are integers and A is positive.
Given equation: Y = 326.2x - 241.6
1. Multiply every term by 10 to eliminate decimal points:
10Y = 3262x - 2416
2. Rearrange the terms to have the x and y variables on the left side:
-3262x + 10Y = -2416
3. Multiply the equation by -1 to make the coefficient of x positive:
3262x - 10Y = 2416
4. Divide every term by 2 to simplify the coefficients (optional step):
1631x - 5Y = 1208
Therefore, the standard form of the linear model is 1631x - 5Y = 1208.