What step can be taken to change the equation −x+y=5 to standard form?

Multiply all terms by −1.

Multiply all terms by −
5
1

.

Multiply all terms by 5.

None of these steps can be taken.

1 answer

To change the equation \(-x + y = 5\) to standard form, we typically want it in the form \(Ax + By = C\), where \(A\), \(B\), and \(C\) are integers, and \(A\) is non-negative.

The given equation is:

\[ -x + y = 5 \]

To put it in standard form, we can multiply all terms by \(-1\) to make the coefficient of \(x\) positive. This gives us:

\[ x - y = -5 \]

Now it's in the form \(Ax + By = C\), where \(A = 1\), \(B = -1\), and \(C = -5\).

Therefore, the correct step to take is:

Multiply all terms by -1.