Question

The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) → x – 2y = 3 2x = 18 What is the solution of the system of equations?

Answer 1

Answer:

The solution of the given system is x = 9, y = 3.

Step-by-step explanation:

Here, the given system of equations,

$x+2y=15--------(1)$

$x-2y=3---------(2)$

Adding equation (1) and (2),

We get,

$2x=18$

$x=9$

From equation (1),

$9+2y=15$

$2y=15-9$

$2y=6$

$y=3$

Hence, the solution of the given system is x = 9, y = 3.

Answer 2

Answer:

(9, 3)  

Step-by-step explanation:

(1) 4(0.25x + 0.5 y) = 3.75 ⟶ x + 2y = 15

(2)                 4x - 8y = 12 ⟶ x  -  2y =   3

                                                    2x = 18

                                                       x = 9

                                               9 - 2y = 3

                                                   -2y = -6

                                                      y = 3

The solution of the system of equations is (9, 3).

The graph of Equation (1) (blue) intersects that of Equation (2) (red) at (9, 3).