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

7 - 3(x -y) = 5x + 2

7 - 3x + 3y = 5x + 2

-3x + 3y - 5x = 2 - 7

-8x + 3y = -5

Option D.

Answer 2

We are given the expression:
7 – 3(x – y) = 5x + 2
The equation shows that it is a linear equation. To write this in standard form it should be in the form:

Ax + By = C where A, B, and C are integers.

7 – 3x + 3y) = 5x + 2
7 - 2 = 5x +3x - 3y
8x - 3y = 5

Therefore, the correct answer is option B.