Question

complete the equation to show $y = \frac{2}{3}x - 7$ in standard form.
select choice $x+$ select choice $y=$ select choice

Explanation:

Step1: Recall standard form definition

The standard form of a linear equation is $Ax + By = C$, where $A$, $B$, $C$ are integers, and $A \geq 0$.

Step2: Eliminate the fraction

Start with $y = \frac{2}{3}x - 7$. Multiply all terms by 3 to clear the fraction:
$$3y = 2x - 21$$

Step3: Rearrange to standard form

Subtract $2x$ from both sides to get $x$ and $y$ terms on the left:
$$-2x + 3y = -21$$
Multiply all terms by $-1$ to make the $x$-coefficient positive:
$$2x - 3y = 21$$

Answer:

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