Question

Which of the following could be appropriate values for an equation to be in Standard Form ((Ax + By = C))?

A. (A = -6), (B = 8), (C = 3)
B. (A = 16), (B = 29), (C = 0)
C. (A = 4), (B = 0), (C = 9)
D. (A = 4), (B = 14), (C = 0)

Answer 1

All presented options A, B, C, and D are correct for an equation to be in Standard Form, as they all present possible values for A, B, and C, which represent a linear equation.

Step-by-step explanation:

The student asked which of the following could be appropriate values for an equation to be in Standard Form (Ax + By = C). All of the given options A, B, C, and D are actually correct because the standard form does not have specific restrictions on the values of A, B, and C, other than A should not be zero. For example:

• (A = -6), (B = 8), (C = 3), gives the equation -6x + 8y = 3
• (A = 16), (B = 29), (C = 0), gives the equation 16x + 29y = 0
• (A = 4), (B = 0), (C = 9), gives the equation 4x + 0y = 9, which simplifies to 4x = 9
• (A = 4), (B = 14), (C = 0), gives the equation 4x + 14y = 0

Each of these equations is in the standard form, which is used to represent linear equations.

Answer 2

Option C (A = 4, B = 0, C = 9) represents an appropriate equation in standard form.

Step-by-step explanation:

Standard form requires a non-zero coefficient for the x-term (A ≠ 0) and a zero coefficient for the y-term (B = 0). Only option C satisfies both conditions, making it the correct choice.

Option C is answer.