What is a Substitution Calculator?
Substitution calculator with steps is an online digital tool that enables you to find the value of two variables using the substitution method. It determines the variables' values from the given linear system equation in a couple of seconds.
Substitution Method:
The substitution method is the commonly used method in algebra to find the value of a pair of variables when one variable (x variable value) is isolated from one equation. Then you put the variable value into the second equation to find the second variable (y variable value).
After finding y, substitute the y value of the equation to get the value of the first variable.
Formula Behind Substitution Method Calculator:
The substitution method consists of a system of linear equations where a pair of variables is involved. The substitution calculator uses the following formula to solve the system of equations by substitution.
Whereas,
$$ ax^1 + by^1 \;=\; c^1 $$
$$ ax^2 + by^2 \;=\; c^2 $$
Can Substitution Math Calculator Give Solution in Steps?
Yes, our substitution method calculator gives the solution in steps. Our tool has advanced features that enable you to find the solution of linear equation variables.
Let’s understand how the substitute calculator solves the system of equations problem by substitution:
Working of System of Equations Calculator Substitution:
When you add two equations in the substitute method calculator, it checks the given linear equation. After checking, it knows which variable is separated from the equations (either x or y variable).
Then isolated variable value is substituted in the second equation to find the variable value. Suppose you want to find the value of x, therefore substitute the y value in the given equation. After simplification, you will get the solution of the x variable.
Now substitute the x value in one of the given equations to find the y variable value. Substitution math calculator provides you solution of a linear equation of both the variables (x or y value).
Now check your answer, you can add x and y values in one of the given equations or both equations. Then simplify it, if the left-hand side and right-hand side are equal then your roots are correct, if not then again check your solution.
To avoid all this hassle, the substitution calculator with steps gives you the exact solution as per your input immediately.
Solve by Substitution - An Example
The system of equations calculator substitution can be used to solve the substitution problems easily but it’s crucial to know the manual calculations. So an example is given below,
Example:
Solve the system by substitution,
\begin{matrix} -x & +y & =\;-5 \\ 2x & -5y & =\; 1 \\ \end{matrix}
Solution:
First, it separates the y value from equation 1 as:
$$ -x + y \;=\; -5 $$
$$ y \;=\; x - 5 $$
Now substitute the y = x + 5 value into equation 2 to get the value of x.
$$ 2x - 5y \;=\; 1 $$
$$ 2x - 5(x-5) \;=\; 1 $$
$$ 2x - 5x + 25 \;=\; 1 $$
$$ -3x \;=\; -24 $$
$$ x \;=\; 8 $$
Substitute the x = 8 value of one of the given equations to get the value of y.
$$ -(8) + y \;=\; -5 $$
$$ y \;=\; 3 $$
So the solution is (8, 3).
Now combine the both equations and solve by substitution
$$ -x + y \;=\; -5 $$
$$ -(8) + (3) \;=\; -5 $$
$$ 2x - 5y \;=\; 1 $$
$$ 2(8) - 5(3) \;=\; 1 $$
How to Use Substitution Calculator?
Substitution method calculator has a user-friendly interface that allows you to solve various types of variable values from the given equation instantly. You just need to follow the simple steps for a comfortable experience during linear equation evaluation.
- Enter the first linear equation in the input field.
- Enter the second linear equation in the next input field of substitution math calculator.
- Check given linear equations before pressing the calculate button to get the solution of variable values.
- Click the “Calculate” button for the solution of algebraic equation questions.
- Click the “Recalculate” button for evaluation of the linear equation examples.
- If you do not know about the working procedure of our substitution method 3 variables calculator then use the load example for the calculation to get an idea of its accuracy.
Final Result of Substitute Calculator:
Substitution calculator gives you a solution of linear equation problem instantly when you click on the calculate button. It include as:
Result Box:
You get the solution of an algebraic equation problem in a fraction of a seconds.
Steps Box:
Click on the steps option so that you get the given solution of the linear equation questions in steps.
Advantages of Substitute Method Calculator:
Calculator for substitution method is a wonderful tool for solving linear equations to get the variable root values. It gives you multiple benefits whenever you use it for the evaluation of variables. The advantages are:
- Substitution method calculator is a trustworthy tool as it always gives accurate solutions of substitution method problems.
- It is a speedy tool that evaluates linear equation problem solutions in a couple of seconds.
- Substitution math calculator is a free tool that allows you to use it for the calculation of root values without any charges.
- System of equations calculator substitution is used for practice to get a strong hold on algebraic equation problems.
- It has a simple design, so even a beginner can easily use it for the solution of variables.
- You can operate the method of substitution calculator on a desktop, mobile, or laptop.
