Question
Which is the equation negative one-half x equals y plus 3 in standard form?
Answer options with 5 options
A.
negative one-half x plus y equals 3
B.
x plus y equals negative 3
C.
x plus y equals negative 6
D.
x plus 2 y equals negative 6
E.
x plus 2 y equals 6
Answer options with 5 options
A.
negative one-half x plus y equals 3
B.
x plus y equals negative 3
C.
x plus y equals negative 6
D.
x plus 2 y equals negative 6
E.
x plus 2 y equals 6
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To convert the equation \(-\frac{1}{2}x = y + 3\) into standard form, we first need to isolate terms on one side.
Starting with the given equation:
\[
-\frac{1}{2}x = y + 3
\]
We can rearrange it to the standard form \(Ax + By = C\). First, let's eliminate the fraction by multiplying all terms by -2 (the denominator of -1/2):
\[
(-2)(-\frac{1}{2}x) = (-2)(y + 3)
\]
This simplifies to:
\[
x = -2y - 6
\]
Next, we'll rearrange it to fit the standard form. Adding \(2y\) to both sides gives:
\[
x + 2y = -6
\]
So, the equation in standard form is:
\[
x + 2y = -6
\]
Looking at the answer choices, we see that this corresponds to option **D**.
**Final Answer: D. \(x + 2y = -6\)**
Starting with the given equation:
\[
-\frac{1}{2}x = y + 3
\]
We can rearrange it to the standard form \(Ax + By = C\). First, let's eliminate the fraction by multiplying all terms by -2 (the denominator of -1/2):
\[
(-2)(-\frac{1}{2}x) = (-2)(y + 3)
\]
This simplifies to:
\[
x = -2y - 6
\]
Next, we'll rearrange it to fit the standard form. Adding \(2y\) to both sides gives:
\[
x + 2y = -6
\]
So, the equation in standard form is:
\[
x + 2y = -6
\]
Looking at the answer choices, we see that this corresponds to option **D**.
**Final Answer: D. \(x + 2y = -6\)**
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