Solve with elimination please

Question

1/5(x + 2y) = -2 

x/4 - 3y/2 = 15/2

Answer 1

Hi Caz,  did you see my answer to the other questions?

Same process here.  Get rid of the fractions, then proceed.

 

MULT everything in the top equation by 5

MULT everything in the bottom equation by 4

 

x + 2y = -10

x - 6y =30

 

 

To eliminate x, multiply everything in the top equation by -1 so the x's will go away.

 

-x - 2y = 10

x - 6y = 30

 

Now add vertically and the x's go away (are ELIMINATED).

 

-8y = 40

 

y = -5

 

Plug that back in to one of the previous equations

 

x + 2(-5) = -10

x-10 = - 10

 

Add 10 to both sides and get

 

x = 0

 

Answer:  (0,-5)