Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9

Question

Solve the following system and show all of your work.
3y − 2x = 11
  y + 2x = 9

anonymous · Answer

The simpliest way to do this is just to add them...
Doing so would leave you with
4y (the 2x and -2x cancel out) = 20

Solve for y, and then you can solve for x, this method involves matrices.

anonymous · Answer

huuh

anonymous · Answer

See how they're lined up? y + x = number?

anonymous · Answer

yes

anonymous · Answer

Adding the 3y and y give 4y, Adding 2x and -2x gives 0, and 11 and 9 make 20, simplyfing into one equation. You're basically adding one whole equation to the other.

anonymous · Answer

what did you get because I think I got something way wrong

shane_b · Answer

3y − 2x = 11 
+  y + 2x = 9 
-----------
  4y + 0x = 20

Simplify and solve for y:
4y=20
y = 20/4
y=5

Using the second equation to solve for x (now that you know y):
y + 2x = 9
5 + 2x = 9
2x = 9 - 5
2x = 4
x=4/2
x = 2