6-2(x-y)=-3x+5
6-2x+2y=-3x+5
6-2x+2x+2y=-3x+2x+5
6+2y=-x+5
6-6+2y=-x+5-6
2y=-x-1
2y+x=-x+x-1
x+2y=-1
Therefore, the standard form of 6-2(x-y)=-3x+5 is x+2y=-1.
Answer: The correct option is
(A) [tex]x+2y=-1.[/tex]
Step-by-step explanation: We are given to select the option that shows the following equation in standard form :
[tex]6-2(x-y)=-3x+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the standard form of the equation of a line is ax + by = c.
From equation (i), we get
[tex]6-2(x-y)=-3x+5\\\\\Rightarrow 6-2x+2y=-3x+5\\\\\Rightarrow 6-2x+2y+3x=5\\\\\Rightarrow x+2y=5-6\\\\\Rightarrow x+2y=-1.[/tex]
Thus, the required standard form of the equation of line is [tex]x+2y=-1.[/tex]
Option (A) is CORRECT.