Question

What is the value of the y variable in the solution to the following system of equations?

3x + y = 11
-3x + 2y = 1

Answer 1

notice we have 3x in the top equation
and -3x in the bottom equation

Answer 2

they add to

3x + (-3x) = 0x = 0

so the x terms go away when you add 3x and -3x

Answer 3

add the y terms: y+2y = 3y

add the constants on the right side: 11+1 = 12

Answer 4

if we add the equations, we get

3x + y = 11
-3x + 2y = 1
-------------
0x + 3y = 12

giving us

3y = 12

Making sense so far?

Answer 5

Yes, I see now, i accidently made the 12 a 10 i see now

Answer 6

If 3y = 12

then y = ??