Final answer:
To convert the equation 6 - 2(x - y) = 3x + 5 into standard form, the correct steps lead to the final form 5x - 2y = -1, which corresponds to option B.
Step-by-step explanation:
To find which answer shows the equation 6 − 2(x − y) = 3x + 5 in standard form, let's distribute and rearrange terms. First, distribute the -2 across (x - y) to get -2x + 2y. Now the equation looks like 6 - 2x + 2y = 3x + 5.
Add 2x to both sides of the equation to get 6 + 2y = 5x + 5. Then, subtract 6 from both sides to isolate the variables:
2y = 5x - 1
We want the x term to come first, so we'll simply reorder:
5x - 2y = -1
From the potential answers given, option B. 5x − 2y = -1 represents the equation 6 − 2(x − y) = 3x + 5 in its standard form.