Question

which ordered pair is the solution set for this system of equations?
$x + y = 8$
$y = x - 3$
$\bigcirc$ $(4,4)$
$\bigcirc$ $(4,1)$
$\bigcirc$ $(2.5,5.5)$
$\bigcirc$ $(5.5,2.5)$

Explanation:

Step1: Substitute y into first equation

$x + (x - 3) = 8$

Step2: Simplify and solve for x

$2x - 3 = 8 \implies 2x = 11 \implies x = 5.5$

Step3: Find y using x value

$y = 5.5 - 3 = 2.5$

Answer:

(5.5, 2.5)