Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

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) [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.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.