MATH SOLVE

3 months ago

Q:
# Write the equation 8y = 1/12 x – 0.8 in standard form. Identify A, B, and C.

Accepted Solution

A:

Answer:The equation is 10x - 960y = 96A = 10 , B = -960 , C = 96Step-by-step explanation:* Lets explain the standard form of the linear equation- The standard form of the linear equation is : AX + BY = C , where A , B , C are constant- A is a positive integer, and B, and C are integers- The slope of the line is -A/B- The y-intercept is C/A- Lets solve the problem∵ The equation of the line is 8y = 1/12 x - 0.8- At first multiply the equation by 12 to make the coefficient of x integer∴ (8 × 12) y = (1/12 × 12) x - (0.8 × 12)∴ 96y = x - 9.6- Multiply the two sides of the equation by 10 to make 9.6 integer∴ (96 × 10) y = (1 × 10) x - (9.6 × 10)∴ 960y = 10x - 96- Add the two sides by 96∴ 960y + 96 = 10x- Subtract 960y from both sides∴ 96 = 10x - 960y∴ The standard form of the equation is 10x - 960y = 96, where A = 10 , B = -960 , C = 96