the linear combination method is applied to a system of equations as shown.\n4(.25x +.5y = 3.75) → x + 2y =…

the linear combination method is applied to a system of equations as shown.\n4(.25x +.5y = 3.75) → x + 2y = 15\n\frac{1}{4}(4x - 8y = 12) → x - 2y = 3\n2x = 18\nwhat is the solution of the system of equations?\n(1,2)\n(3,9)\n(5,5)\n(9,3)

the linear combination method is applied to a system of equations as shown.\n4(.25x +.5y = 3.75) → x + 2y = 15\n\frac{1}{4}(4x - 8y = 12) → x - 2y = 3\n2x = 18\nwhat is the solution of the system of equations?\n(1,2)\n(3,9)\n(5,5)\n(9,3)

Answer

Answer:

D. (9,3)

Explanation:

Step1: Solve for x

Given (2x = 18), divide both sides by 2. (x=\frac{18}{2}=9)

Step2: Substitute x into an equation

Substitute (x = 9) into (x - 2y=3). (9-2y = 3)

Step3: Solve for y

Subtract 9 from both sides: (-2y=3 - 9=-6). Then divide both sides by - 2: (y=\frac{-6}{-2}=3). So the solution is ((9,3)).