Question

question 2b short answer system 2: $y = x - 3$ $2x + y = 11$ solve the system using substitution. show all your work.

Explanation:

Step1: Substitute $y=x-3$ into second equation

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

Step2: Simplify and solve for $x$

$2x + x - 3 = 11$
$3x - 3 = 11$
$3x = 14$
$x = \frac{14}{3}$

Step3: Substitute $x$ to find $y$

$y = \frac{14}{3} - 3 = \frac{14}{3} - \frac{9}{3} = \frac{5}{3}$

Answer:

$x=\frac{14}{3}$, $y=\frac{5}{3}$