4x + 2y=46 x-3y=1

Question

Elimination

Answer 1

Hi Tara, here is the process:

 

System:

 

4x + 2y = 46

  x -  3y =  1

---------------

 

Multiply the second equation by -1:

 

 4x  +  2y  = 46

-4x + 12y  = -4

------------------

          14y  =  42

 

y = 3

 

Substitute for y in the first equation:

 

4x + 6 = 46

 

4x = 40

 

x = 10

 

Answer:

 

x = 10

 

y = 3

 

Questions?

Answer 2

4x + 2y = 46

 x  -  3y =  1

 

multiply equation 2 by -4

 

4x + 2y = 46

-4x+12y =-4   add equations

-----------------

     14y = 42 

        y = 3

 

Substitute into one of the original

equatioms.  Let's use equation 2

 

x - 3(3) = 1

x - 9 = 1

x = 10

 

x = 10, y = 3

 

check by plugging into the two 

original equations to verify.