The standard form of a linear equation is typically written as \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) should be non-negative.
Let's examine each option you provided:
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−x + y = 5
This can be expressed as \( -1x + 1y = 5\). While it is in the format \(Ax + By = C\), \(A\) is negative, which does not conform to the standard form requirement. -
x + 0.25y = 4
This can be rewritten as \(x + \frac{1}{4}y = 4\). While it's in the correct format, \(B\) (0.25) is not an integer, so it does not satisfy the standard form condition. -
2x + 2y = 12
This equation is already in the standard form, \(Ax + By = C\) (with \(A = 2\), \(B = 2\), and \(C = 12\)), where all coefficients are integers and \(A\) is positive.
Based on this analysis, the equation in standard form is:
2x + 2y = 12.