Which of the following is in standard form?

x+y=2.5

None of these are in standard form.

2x−y=−15

x+0.25y=15

1 answer

In mathematics, the standard form of a linear equation is typically given as \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) should be non-negative.

Let's examine each equation:

  1. \( x + y = 2.5 \) - This is not in standard form because 2.5 is not an integer.

  2. \( 2x - y = -15 \) - This is in standard form since \( A = 2 \), \( B = -1 \), and \( C = -15 \) are integers.

  3. \( x + 0.25y = 15 \) - This is not in standard form because \( 0.25 \) is not an integer.

Thus, the equation that is in standard form is:

2x - y = -15