Linear Equations by Substitution Calculator
Linear Equations by Substitution Calculator solves the linear equations having unknown variables in a fraction of seconds. Give the input equations separated by commas then tap on the calculate button to get the output of the given equation at a faster pace.
Linear Equations by Substitution Calculator: Looking for the best & reliable online calculator to solve complex equations by substitution method you have landed on the right page. Generally, we use Linear Equations by Substitution Calculator to solve the systems of linear equations in two variables. Try using this free online calculator tool and avail the accurate solution along with the detailed process on How to solve linear equations using substitution.
What is Meant by Linear Equations by Substitution?
In algebra, Linear Equations is the most essential concept. Solving linear equations can be tricky, but it can be solved easily using the substitution method. Solving Systems of Linear Equations with Substitution is simplifying the coordinates or coefficients or variable values by substituting one equation of solved expression into another equation.
How to Solve a System of Equations by Substitution Method?
The process of solving systems of equations by substitution methods is simple yet quick to find the variables. Here, we have discussed solving the system of equations by substitution in detailed steps to learn the calculation of equations manually. Follow them
- In the first step, take one linear equation and solve it for y in terms of x.
- After that, substitute the result in another linear equation.
- Solve the expression, then you have the x-coordinate or x value.
- Substitute the x value in one equation and find the second coefficient or coordinate ie., y value.
- Hence, the solutions of systems of linear equations by substitution are obtained easily.
Example:
Solve the following linear equation in two variables using substitution:
x+2y=2x−5
x−y=3
Solution:
Given equations are
x+2y=2x−5 ……(1)
x−y=3 …..(2)
Isolate x+2y=2x−5 for x
x+2y=2x−5
x=5+2y ….(3)
Substitute (3) in (2)
x-y=3
5+2y-y=3
5+y=3
y=3-5
y = -2
Substitute the y value in equation (1)
x+2y = 2x-5
x-4 = 2x-5
2x-5-x+4 = 0
x-1=0
x=1
Hence, the solutions to the system of equations by substitution is x=1, y=-2.
FAQs on System of Linear Equations Substitution Calculator
1. What is meant by the Substitution Method?
The Substitution method is solving one variable with one equation and then substituting the value in the second equation and finding the other variable of the given linear equations.
2. Where do I get detailed steps on solving systems of linear equations by substitution?
You can get the detailed steps of solving linear equations by substitution on our page along with examples.
3. How to solve the system of equations using Linear Equations by Substitution Calculator?
You can solve System of Equations easily with Linear Equations by Substitution Calculator as it asks to enter the input equations separated by commas and click on the calculate button to obtain the output values in no time.
4. Which portal offers the best tool to find linear equations with one, two, or three variables?
Linear Equations Calculator is a reliable and trusted web portal that offers various tools to Solve Linear Equations with three variables, two variables, a single variable, etc.