solve the equation if it an identity (all real numbers) or a contradiction please state

5x+6+6x=10x+6+y

The eqution reduces to

y = x

Solving an equation means to find the values of the variable that make the equation true
There will be an infinite number of solutions, as long as the x value is equal to the y value
e.g.
x = 67, y = 67 works
x = √37 + 6.5 , y = √37 + 6.5 works
etc

X=5X+6Y

To solve the equation, we need to simplify both sides and determine if it is an identity (true for all real numbers) or a contradiction (false for all real numbers). Let's start by simplifying the equation step by step:

5x + 6 + 6x = 10x + 6 + y

Combining like terms on the left side:

11x + 6 = 10x + 6 + y

Simplifying the equation further by subtracting 10x and 6 from both sides:

11x - 10x - 6 = y

Simplifying:

x - 6 = y

Now we have the equation in terms of x and y. There is no way to simplify it further or eliminate any variables.

Since we still have an 'x' and 'y' in the equation and no specific values or restrictions given for them, we cannot determine whether it's an identity or a contradiction.

Therefore, the solution depends on the values of 'x' and 'y'.