Question

the linear combination method is applied to a system of equations as shown. 4(0.25x + 0.5y = 3.75) → x + 2y = 15 (1/4)(4x - 8y = 12) → x - 2y = 3 2x = 18 what is the solution of the system of equations? (1,2) (3,9) (5,5) (9,3)

Explanation:

Step1: Solve for $x$

$2x = 18$
$x = \frac{18}{2} = 9$

Step2: Substitute $x=9$ into $x-2y=3$

$9 - 2y = 3$
$-2y = 3 - 9 = -6$
$y = \frac{-6}{-2} = 3$

Answer:

(9,3)