Question

ve the system by substitution.

$3x + y = 19$
$-6x - 5 = y$

Explanation:

Step1: Substitute $y$ into first equation

Substitute $y=-6x-5$ into $3x+y=19$:
$3x + (-6x - 5) = 19$

Step2: Simplify and solve for $x$

Combine like terms and isolate $x$:
$3x - 6x - 5 = 19$
$-3x - 5 = 19$
$-3x = 19 + 5$
$-3x = 24$
$x = \frac{24}{-3} = -8$

Step3: Substitute $x$ to find $y$

Plug $x=-8$ into $y=-6x-5$:
$y = -6(-8) - 5$

Step4: Calculate the value of $y$

Compute the arithmetic:
$y = 48 - 5 = 43$

Answer:

$x=-8$, $y=43$