Item 3

What is the solution of the system?

Use the elimination method.

4x+2y=18

2x+3y=15

The given system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ... (1)

2 x + 3 y = 15 ... (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with - 2 we get,

(2 x + 3 y = 15) (-2) ⇒ - 4x - 6y = - 30 ... (3)

Add (1) and (3), we get:

4 x + 2 y - 4x - 6y = 18 - 30

or, - 4 y = - 12

or, y = 12/4 = 3 ⇒ y = 3

Putting in (1), we get

4x + 2 (3) = 18 or, 4x = 18 - 6 = 12

or, x = 3

(x, y) = (3,3)

Hence, the above system as (3,3) as its solution.