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The answer depends on the nature of the equation. Some equations can be solved by analytical methods. For example, you can carry out the basic operations of arithmetic on both sides of the equation so as to isolate the variable. Isolating the variable means that only the variable appears on one side of the equation and the other side contains only arithmetic expressions which can be evaluated.
For example, if the equation is 3x + 5 = 7
then subtracting 5 from both sides gives 3x = 2
and dividing both sides by 3 gives x = 2/3.
Some equations cannot be solved in this way. Sometimes there are formulae - such as the quadratic formula - while at other times the only option is to use numerical methods (trial and improvement or its more sophisticated versions).
Depending on the type of equation, this can be very simple or very complicated. The basic procedure is shown, with many example, in any high school algebra textbook. The main idea (for the simpler cases) is to do the same operation on both sides of the equation, until the variable is alone on one side. Here is an example:2x + 5 = 25
The objective is to have the "x" alone. One way of going in this direction is to subtract 5 from both sides, to get rid of the 5:
2x + 5 - 5 = 25 - 5
or:
2x = 20
Next, you need to get rid of the 2 (your objective is still to have the "x" alone on the left):
2x/2 = 20/2
or: (2/2)x = 10
or: x = 10
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What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
Is the goal of solving an equation to get the variable by itself?
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
True or false In a nonlinear equation each variable must only have one solution?
In a nonlinear equation, each variable must only have one solution.
The value of the variable that makes an equation true is the?
Solution
What is the value of the variable that makes an equation true is an?
an solution
What reduces an equation that has two variables to an equation that has one variable It is the possible to find the solution for this variable?
substitution
Reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?
Substitution
What reduces an equation that has two variables to an equation that has one variable It is then possible to find the solution for this variable?
substitution
What reduces an equation that has two variables to an equation that has one variable. It is then possible to find the solution for this variable.?
substitution
What is the value of a variable that makes an equation true?
That's the "solution" of the equation.
What is the number that can replace a variable in an equation to make it a true equation?
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.
The value of a variable which satisfies an equation is called to the equation?
a solution
A value for a variable that makes the equation true?
That's the "solution" to the equation described by the sentence.
Why do you isolate the variable on one side the the equation when solving a linear equation?
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.
Is the goal of solving an equation to get the variable by itself?
No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.
What does it mean for a value to be a solution to an equation?
For a value to be a solution to an equation, when you substitute the value for the variable, the equation becomes true. 4+B=6 B is the variable. 2 is the solution Substitute 2 for B 4+2=6 The equation is true.
True or false In a nonlinear equation each variable must only have one solution?
In a nonlinear equation, each variable must only have one solution.
