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?
$2x + 3(8 - 3x) = 3$
what is the value of $x$?
dropdown
blurred is the value of $y$?
$-3$
$-1$
$3$

Explanation:

Step1: Substitute $y=8-3x$ into first equation

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

Step2: Expand and simplify the equation

$2x + 24 - 9x = 3$
$-7x + 24 = 3$

Step3: Solve for $x$

$-7x = 3 - 24$
$-7x = -21$
$x = \frac{-21}{-7} = 3$

Step4: Substitute $x=3$ into $y=8-3x$

$y = 8 - 3(3) = 8 - 9$

Answer:

Value of $x$: $3$
Value of $y$: $-1$