If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
only one value will make the equation true: 2x = 5 x=5/2 x=2.5
Such an equation is called an IDENTITY.
In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.
A variable like "x" can have any value. If you have a complete equation, like 9x + 12 = 100, a specific value of x will make the equation true; other values will make it false. But here, you don't have an equation, so any value will do for x.
a solution
The solution.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Solving the equation.
only one value will make the equation true: 2x = 5 x=5/2 x=2.5
It is about finding a value of the variable (or variables) that make the equation a true statement.
The goal is to find what value or values the variable may have, to make the equation true.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
Such a value is said to be a solution, or a root, of the equation.
Such an equation is called an IDENTITY.
The solution set is the answers that make an equation true. So I would call it the solution.
when you find the value, you SOLVED the equation. you CHECK the equation when you substitute the value in the variables place and check that the equation is true.