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Or # Substitution Method Calculator

Select the equation number and enter all coefficients and constant values to simplify the linear equation

Calculation For:

\begin{cases} \text{$a_1x + b_1y = k_1$}\\ \text{$a_2x + b_2y = k_2$}\\ \end{cases}

\begin{cases} \text{$a_1x + b_1y + c_1z = k_1$}\\ \text{$a_2x + b_2y + c_2z = k_2$}\\ \text{$a_3x + b_3y + c_3z = k_3$}\\ \end{cases}

a1

b1

k1

a2

b2

k2

a1

b1

c1

k1

a2

b2

c2

k2

a3

b3

c3

k3

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The substitution calculator makes the solution of algebraic equations simple and fast by substituting one variable into another equation.

## What is the Substitution Method?

“It is a process of algebraic equations do involve gathering one variable value from one and inserting into the other linear equation to find the values of all the variables”

The solution of the system of equations by substitution process provides the simple solution of the linear algebraic variable. It is possible to know the roots “x” and “y” of linear algebraic equations.

## Types of Substitution Method:

The algebraic equation calculator can be used to solve linear equations by substitution with the following major methods:

• Algebraic  method
• Graphical method

## The Substitution Steps:

There are 3 basic steps involved in the process:

• First, solve by substitution one equation and get the value of the desired variable.
• Secondly, plug in the desired variable values in the second equation.
• In the third step, substitute the values into the equation to solve the final value of our variables.

### Example:

Now solve the system of linear values.

2x + 4y = 4———-(Eq1)

x + y = 3———-(Eq2)

Find values of “x” from the (Eq2)

x = 3 – y

Input values of the variable “x” in the (Eq1)

2 ⋅ (3 – 1y) + 4y = 4

Now the value of variables “y”

2y = -2

The value of “y” in (Eq1)

y = -1

y = -1 in the

2x + 4 ⋅ (-1) = 4

The value of “x”

x = 4

The final values of the “x” and “y”

x = 4 , y = -1

### Other Examples:

In the substitution calculator, take the value of one variable from one to the other.

 System of linear equation Results x+y=5 ; x+2y=7 x=3, y =2 -x-7y=-1 ; x-2y=-8 x=−6, y=1 2x + y = 7 ;3x – 4y = 1 x=38/11, y=1/11 2x – y = 3 ; x + 2y = 2 x=8/5, y=1/5 x-3y = -43 ; 2x+2y=-41 x=-209/8, y=45/8

You simply cut down the “x” and “y” by making their coefficients the same.

You simply cut down the “x” and “y” by making their coefficients the same.

## How to Use the Calculator?

The substitution method calculator is efficient in solving a system of equations.

Let’s have a look at its working procedure!

Input:

• Enter the variables “x”, and “y” in the designated field
• Enter the constant values equation “K”
• Now calculate

Output:

• Variables “x” and “y”
• All steps solved

## FAQs:

### Why Do Need the Substitution of Algebraic Linear Equations?

Implement the substitution process to solve the values of the variables “x” and “y” in a system of linear values. The substitution method calculator with steps elaborates all the steps of the process and the simple for the users

## Citation:

From Wikipedia: (logic), Propositional logic

From Calc-Workshop: What is the process?