Solve for y.
.. 3y = 3x +6
.. y = x +2 . . . . . . . . . . . the required form
Answer:
The answer to the expression is 8
Solving for a variable means to rewrite the equation so that the desired variable is alone on one side. So, we have to "move" all the other variables/constants in order to make this happen. We are allowed to add/subtract the same quantity from both sides, or to multiply/divide both sides by any non-zero number.
Let's start with the first example: we are given
11. 
the variable
is not alone on the right hand side because it is multiplied by
. We can reverse this by dividing both sides by
: the equation becomes

So, we have written the equation as
, which means that
now sits alone on one side of the equation, and thus we have solved the equation for
!
Similarly, we do all the others:
12. 
Subtract
from both sides to get

13. 
Subtract
from both sides to get

Now divide both sides by
to get

14. 
Multiply both sides by 2:

Divide both sides by
:
