Question

Which shows this equation in standard form?
7 – 3(x – y) = 5x + 2
The choices are -
3x – 8y = 5
8x + 3y = 5
8x – 3y = 5
8x – 3y = –5

I have no idea how to solve this. Could you please answer it and explain to me how you got the answer? All help is very appreciated :)

Answer 1

7 - 3(x - y) = 5x + 2 -- distribute through the parenthesis
7 - 3x + 3y = 5x + 2 -- subtract 7 from both sides
-3x + 3y = 5x + 2 - 7 -- combine like terms
-3x + 3y = 5x -5 -- subtract 5x from both sides
-3x - 5x + 3y = -5 -- combine like terms
-8x + 3y = -5 -- multiply by -1 to make x positive
8x - 3y = 5 <== standard form

Answer 2

Thank you SO MUCH! :D

Answer 3

glad to help...do you have any questions ?