Answered

Which answer shows this equation in standard form?


6 – 2(x – y) = –3x + 5


A.

x + 2y = –1


B.

x + 2y = 1


C.

x – 2y = 1


D.

–5x + 2y = –1

Verified Answer :

lekhagummalla


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) \(x+2y=-1.\)

Step-by-step explanation:  We are given to select the option that shows the following equation in standard form :

\(6-2(x-y)=-3x+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)

We know that

the standard form of the equation of a line is ax + by = c.

From equation (i), we get

\(6-2(x-y)=-3x+5\\\\\Rightarrow 6-2x+2y=-3x+5\\\\\Rightarrow 6-2x+2y+3x=5\\\\\Rightarrow x+2y=5-6\\\\\Rightarrow x+2y=-1.\)

Thus, the required standard form of the equation of line is \(x+2y=-1.\)

Option (A) is CORRECT.

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