Question

elimination method (show your work) \\(3x + 1y = 23\\) \\(3x - 2y = 8\\) solution (\\(\square\\), \\(\square\\))

Explanation:

Step1: Subtract equations to eliminate $x$

$(3x + y) - (3x - 2y) = 23 - 8$
$3x + y - 3x + 2y = 15$
$3y = 15$

Step2: Solve for $y$

$y = \frac{15}{3} = 5$

Step3: Substitute $y=5$ into first equation

$3x + 5 = 23$

Step4: Solve for $x$

$3x = 23 - 5 = 18$
$x = \frac{18}{3} = 6$

Answer:

$(6, 5)$