The value of a variable is called the solution. You can determine if the solution is correct by solving for the variable by using the Distributive Property, and Inverse Operation.
For an example:
If x = 8, determine if it is a solution to
1x - 4 = 4
Replace x with 8.
1(8) - 4 = 4
1 * 8 = 8
8 - 4 = 4
4 = 4
Yes. 8 is a solution to the equation
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
Solution
an solution
A value of the variable that makes the equation statement true is called a solution. For example, in the equation ( x + 2 = 5 ), the value ( x = 3 ) is a solution because substituting it into the equation yields a true statement. There can be multiple solutions or none, depending on the equation. To find a solution, you can isolate the variable and solve for its value.
When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.
The goal is to find what value or values the variable may have, to make the equation true.
linear equation in one variable
It's the value that when substituted in for the variable, makes the equation true. Ex: x + 1 = 3 The value 2, when substituted for the variable x, makes the equation true.
It is about finding a value of the variable (or variables) that make the equation a true statement.
The value of the variable that makes an equation true is known as the "solution" to the equation. For example, if you have the equation (x + 3 = 7), the solution is (x = 4), since substituting 4 into the equation yields a true statement. In general, finding the value of the variable involves manipulating the equation to isolate the variable on one side.
You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
Such a value is said to be a solution, or a root, of the equation.
Solution
an solution
A value of the variable that makes the equation statement true is called a solution. For example, in the equation ( x + 2 = 5 ), the value ( x = 3 ) is a solution because substituting it into the equation yields a true statement. There can be multiple solutions or none, depending on the equation. To find a solution, you can isolate the variable and solve for its value.
The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.
That's the "solution" of the equation.