what is an identity equation?(intermidiate algebra) plzz help!! math is so hard!!!?

Answer 1

It's something like:

2x + 4 = 2(x +2)

When you distribute the right hand side and then put the x's together and the constants together, you end up with 0=0.

That means any value of x would make this a true equation. There is no specific solution to this equation.

Later, when you get into trigonometry, identities become very important and aren't as simply and obvious as this example. For example you learn that tan(x)=sin(x)/cos(x) and that is always true. (Of course, you don't know what that means yet.) These identities mean we can always substitute what's on one side of the equation for what's on the other side of the equation without changing anything.

Answer 2

An identity equation:

The equation “x + 2 = 2 + x” has many solutions. Every number you choose as a solution makes the equation a true statement. Is true for all real numbers and has an infinite number of solutions. This equation is called an identity, and has the entire set of real numbers for its solution set.

Answer 3

Aren't all algebraic questions a matter of identity, where Identity is signified by the Equals (=) sign? Aa set of varibles and constants on the left and the right sides of "=", which look different but amount to the same quantity?