Question

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


3x – 2y = 21


–2x – 3y = 21


–2x + 3y = 7


–2x + 3y = 21

Answer 1

Answer:

$-2x+3y=21$

Step-by-step explanation:

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

Thus;

$y=\frac{2}{3}x+7$

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.

Answer 2

Answer:

-2x+3y = 21

Step-by-step 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.