Question

Write y = – 2/3 x + 7 in standard form using integers.
2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7

Answer 1

standard form does not like a minus sign on the x value. That rules out two of your choices.

(standard form puts the variables in alphabetical order, so first x then y)

I would multiply your original equation by 3: every term on both sides of the =
that should get you started.

Answer 2

How do you multiple the -2/3x by 3 with the x there?

Answer 3

3 times (-2/3x) = (3/1) times (-2/3x)

3 times (-2/3x) = (3*-2)/(1*3)x

3 times (-2/3x) = (-6)/(3)x

3 times (-2/3x) = -2x