12. solve the equation 6 - 6x = 5x – 9x - 2.

x=4

Step-by-step explanation:

6 - 6x = 5x – 9x - 2

6+2=5x-9x+6x

8=2x

4=x

What you need to do to be able to solve this is move all of the terms that have no variable and the ones that have the same variable to the other side. Once you have that, you should be able to do 6+2 and solve the side that has variables as if it has no variables. Remember that you have to flip the sign when you are moving all of the numbers. Then when you get to the step where both sides have only one number, that is when you would divide the other number, which in this case is 8, by 2, which is the number correlated with x. And that should get x by itself, and give you the solution.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1