How do you solve 4y equals 2x plus 2?

Answer 1

The equation 4y = 2x + 2 cannot just be solved. If you are trying to solve a system, you need as many equations as you have variables (x and y in this case). Since you have two variables, you need two equations.

For example, if you had:

4y = 2x + 2 AND 2y = 4x + 4, then it would be possible to solve like so....

first solve for one of the variables in one of the equations. Let's go for y in the second equation.

2y = 4x + 4 ----> 2y/2 = 4x/2 + 4/2 ----> y = 2x + 2.

now use this value of y and place it into the first equation and then you can solve for x.

4(2x + 2) = 2x + 2 ----> 8x + 8 = 2x + 2 ----> 6x = -6 ----> x = -1

now you can replace the -1 into either equation and solve for y

4y = 2(-1) + 2 ----> 4y = -2 + 2 ----> 4y = 0 ----> y = 0

So, if there is another equation for you to solve with, you can easily use this method to solve for both variables.