Question

solving systems of equations with substitution
use the system of equations to answer the questions
$2x + 3y = 3$
$y = 8 - 3x$
the value of $y$ from the second equation is substituted back into the first equation. what is the resulting equation?
$2(8 - 3x) + 3x = 3$
$2x + 3(8 - 3x) = 3$
$2x + 3y = 8 - 3x$

Explanation:

Step1: Identify substitution target

We know $y=8-3x$, substitute into $2x+3y=3$.

Step2: Replace $y$ in first equation

Substitute $y$ with $8-3x$: $2x + 3(8-3x) = 3$

Answer:

$2x + 3(8 - 3x) = 3$