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

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.

Answered by lekhagummalla | 2024-06-10

Answer: The correct option is
**(A) ** x + 2 y = − 1.
**Step-by-step explanation: **We are given to select the option that shows the following equation in standard form :
6 − 2 ( x − y ) = − 3 x + 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 ) = − 3 x + 5 ⇒ 6 − 2 x + 2 y = − 3 x + 5 ⇒ 6 − 2 x + 2 y + 3 x = 5 ⇒ x + 2 y = 5 − 6 ⇒ x + 2 y = − 1.
**Thus, the required standard form of the equation of line is ** x + 2 y = − 1.
Option (A) is CORRECT.

Answered by ColinJacobus | 2024-06-12

The correct answer is (A) x + 2 y = − 1 . This is the standard form of the equation derived from the initial expression. The solution process involved distributing, rearranging, and simplifying the equation.
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Answered by ColinJacobus | 2025-03-05