Question

Which shows this equation in standard form?

7 – 3(x – y) = 5x + 2

A.
3x – 8y = 5

B.
8x + 3y = 5

C.
8x – 3y = 5

D.
8x – 3y = –5

Answer 1

Really stumped on this one.

Answer 2

standard form is : Ax + By = C

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