Help with algebra 1 please 10 points.?

Question

2. 3x + 6y = 18 and x + 2y = 6. What is the solution for the system?

one solution
no solution
infinitely many solutions
cannot be determined

Answer 1

3x + 6y = 18------------>(1)

x + 2y = 6-------------->(2)

If you multiply the 2nd equation with 3, you get 3x +6y = 18, the same as equation (1)

So, infinitely many solutions

Option C is right choice.

For example :

(1) ⇒ 3x + 6y=18

Let x = 2

Then 3(2) + 6y = 18

Subtract 6 from each side.

6y = 12

Divide each side by 6.

y = 2.

The ordered pair for that one would be (2,2)

(x, y) : (2, 2),(4, 0.5), (8, -0.50)........ etc.