Question

your turn - solution
solve the system of linear equations using substitution.
$4x + 2y = -12$
$y = x + 3$
multiple-choice question
what is the solution to this system of equations?
$(-1, 2)$
$(-3, 0)$
$(1, 4)$
$(0, -3)$
rewatch
submit

Explanation:

Step1: Substitute $y=x+3$ into first equation

$4x + 2(x+3) = -12$

Step2: Expand and simplify the equation

$4x + 2x + 6 = -12$
$6x + 6 = -12$

Step3: Solve for $x$

$6x = -12 - 6$
$6x = -18$
$x = \frac{-18}{6} = -3$

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

$y = -3 + 3 = 0$

Answer:

(-3, 0)