Question

solve the system using elimination.
$x + 4y = -4$
$2x = 3y + 3$

Explanation:

Step1: Rewrite equations in standard form

$x + 4y = -4$
$2x - 3y = 3$

Step2: Eliminate $x$ via scaling first eq

Multiply first equation by 2:
$2x + 8y = -8$

Step3: Subtract second equation

$(2x + 8y) - (2x - 3y) = -8 - 3$
$11y = -11$

Step4: Solve for $y$

$y = \frac{-11}{11} = -1$

Step5: Substitute $y=-1$ into first eq

$x + 4(-1) = -4$
$x - 4 = -4$

Step6: Solve for $x$

$x = -4 + 4 = 0$

Answer:

$x=0$, $y=-1$ (or the ordered pair $(0, -1)$)