Question

Which answer shows this equation written in standard form?
4 – 3(x – y) = –8x + 2

A. –11x + 3y = –2
B. 5x – 3y = 2
C. 5x + 3y = –2
D. 5x + y = 2

Answer 1

4-3(x-y)=-8x+2
=4-3x-3y=-8x+2
=4-3x+8x-3y-2
=5x-3y+2
or 
5x-3y=-2
so it will be C=5x+3y=-2

Answer 2

To write the expression to its standard form, we have to simplify the expression given. The standard form of the given should be the standard equation for the equation of a line which is:

ax + by = c

4 – 3(x – y) = –8x + 2
4 - 3x + 3y = -8x +2
- 3x + 3y +8x = 2 - 4
5x + 3y = -2

Therefore, the correct answer among the choices is option C.