Question

Write y = x + 7 in standard form using integers.

3x – 2y = 21


–2x – 3y = 21


–2x + 3y = 7


–2x + 3y = 21

Answer 1

-2x+3y = 21

Explanation:

We have given a equation in slope-intercept form .

y = 2/3x+7

We have to rewrite above equation in standard form.

The standard form of equation is :

Ax+By = C

Multiplying by 3 to both sides of above equation, we have

3y = 3(2/3x+7)

3y = 2x+21

Adding -2x to both sides of above equation, we have

-2x+3y = -2x+2x+21

-2x+3y = 21 which is standard form of given equation.

Answer 2

`-2x+3y=21`

Explanation:

The equation was given to us in slope-intercept form.

Thus;

`y=(2)/(3)x+7`

We multiply each term by 3 to obtain;

`3y=2x+21`

We add
`-2x` to both sides to obtain;

`-2x+3y=21`

This equation is in the form;

`ax+by=c` (standard form).

The correct choice is D.