How to find x and Y? Please include both methods want to find which one id easier Thanks!!

Question

-2x-6y=0

3x+11y=4

Answer 1

The second method is to graph these equations on the same coordinate system and find the point of intersection.

 

Refer to the answer I provided in a similar question you have posted.

 

 

By the way, both methods are fairly easy, but algebraic will be faster to do.

Answer 2

Let's use substitution 

 

 

using equation 1 we get :

 

 

2x = -6y

 

x = -3y

 

Now plug this into the second equation

 

-9y + 11y = 4

 

2y = 4

 

y = 2

 

Once you have found your y value substitute this into the first equation which is -2x -6y =0

 

x = -3 ( 2 )

 

= -6

 

If you used elimination to solve this problem then multiply the first eq by 1.5

 

-3x - 9y = 0

 

Then add this to the second equation

 

which yields

 

-9y + 11y = 4

 

2y = 4

 

y = 2

 

Now sub the value for y into the first eq

 

-2x - 6(2) = 0

 

-2x = 12

 

x = -6

 

We end up with the same answer in each case