Question

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

Explanation:

Step1: Substitute y into first equation

Substitute $y = x - 3$ into $x + y = 8$:
$x + (x - 3) = 8$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$2x - 3 = 8$
$2x = 11$
$x = \frac{11}{2} = 5.5$

Step3: Solve for y using x value

Substitute $x=5.5$ into $y = x - 3$:
$y = 5.5 - 3 = 2.5$

Answer:

(5.5, 2.5)