Substitution Method Calculator
Substitution Method Calculator calculates the value of the variables for the given linear equations. A linear equation is defined as an equation that is written for two different variables. This equation will be a linear combination of these two variables and a constant.
What is Substitution Method Calculator?
Substitution Method Calculator is an online tool that helps to calculate the value of the variables for the given linear equations. This online substitution method calculator helps you to calculate the value of the variables in a few seconds. To use this substitution method calculator, enter the coefficients in the given input box.
Substitution Method Calculator
How to Use Substitution Method Calculator?
Please follow the steps below to find the value of the variables using an online substitution method calculator:
- Step 1: Go to online substitution method calculator.
- Step 2: Enter the coefficients of the equation in the given input box of the substitution method calculator
- Step 3: Click on the "Solve" button to find the value of the variables for the given linear equations.
- Step 4: Click on the "Reset" button to clear the fields and enter the new values.
How Substitution Method Calculator Works?
The substitution method consists of solving a variable in the function of another variable and then substituting the value of the first variable into another equation.
A linear equation of the form Ax + By = C. Here, x and y are variables, and A, B, and C are constants.
To solve the variables of the given equations, let's see an example to understand briefly.
Let us understand this with the help of the following example.
Solved Examples on Substitution Method Calculator
Example 1:
Solve the given equations 2x + y = 7 and x + y = 5 and verify it using the substitution method calculator
Solution:
2x + y = 7 ------> (1)
x + y = 5 -------> (2)
From (2), x = 5 - y ------> (3)
Substitute (3) in (1),
2(5 - y) + y = 7
10 - 2y + y = 7
10 - y = 7
y = 3 ------> (4)
Substitute (4) in (2),
x + 3 = 5
x = 2
Therefore, x = 2, y = 3
Example 2:
Solve the given equations 3x - 2y = 4 and 4x - y = 7 and verify it using the substitution method calculator
Solution:
3x - 2y = 4 ------> (1)
4x - y = 7 -------> (2)
From (2), y = 4x - 7 ------> (3)
Substitute (3) in (1),
3x - 2(4x - 7) = 4
3x - 8x + 14 = 4
-5x = -10
x = 2 ------> (4)
Substitute (4) in (2),
4x - y = 7
4(2) - y = 7
8 - y = 7
y = 1
Therefore, x = 2, y = 1
Similarly, you can try the substitution method calculator and find the value of variables for:
- 7x + 8y = 17 and x - 16y = 4
- 11x - 17y = -18 and 12x - 15y = 8