Solving Equations with Variables on Both Sides Calculator is a free online tool that displays the value of the unknown variable. BYJU’S online calculator tool makes calculations faster and easier. The unknown value of the given equation is displayed in a fraction of seconds.
The procedure to use this calculator is as follows:
Step 1: Enter the equation in “Solve the Equation” field
Step 2: Click the button “Solve” to get the output
Step 3: The unknown value of the given equation will be displayed in a new window
Equation Definition
In Mathematics, an equation is an expression that equals two values. It consists of two expressions separated by an equal sign “=”. If an expression is represented using equal sign, the value of one side should be equal to the value on the other side. Most of the linear equation contains one or two variables. Let us consider an example,
Let x be an unknown value
x = 20 +15
We can say that the value of x should satisfy the value 35. Because, 20+ 15 = 35. The process of finding the unknown value in an equation is known as “Solving the Equation”.
Standard Form
The standard form used to represent the equation is given below:
Ax + By = C
Here, x and y are the two unknown values (i.e., variable)
Frequently Asked Questions on Solving Equations With Variables on Both Sides Calculator
5x+2=12 The different types of equations are:Solve the given equation: 5x + 2 = 12
5x=12-2
x=10/5
x=2What are the different types of equations?
Write the classification of linear equation with examples.
The three different classifications of linear equations are:
- Equation with one variable
Example: 5x =10
- Equation with two variables
Example: 2x + 4y = 10
- Equation with three variables
Example: x + y + z = 15
Solve equations and systems of equations with Wolfram|Alpha
A powerful tool for finding solutions to systems of equations and constraints
Wolfram|Alpha is capable of solving a wide variety of systems of equations. It can solve systems of linear equations or systems involving nonlinear equations, and it can search specifically for integer solutions or solutions over another domain. Additionally, it can solve systems involving inequalities and more general constraints.
Learn more about:
- Systems of equations »
Tips for entering queries
Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask about solving systems of equations.
- solve y = 2x, y = x + 10
- solve system of equations {y = 2x, y = x + 10, 2x = 5y}
- y = x^2 - 2, y = 2 - x^2
- solve 4x - 3y + z = -10, 2x + y + 3z = 0, -x + 2y - 5z = 17
- solve system {x + 2y - z = 4, 2x + y + z = -2, z + 2y + z = 2}
- solve 4 = x^2 + y^2, 4 = (x - 2)^2 + (y - 2)^2
- x^2 + y^2 = 4, y = x
- View more examples »
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Get immediate feedback and guidance with step-by-step solutions and Wolfram Problem Generator
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What are systems of equations?
A system of equations is a set of one or more equations involving a number of variables.
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Systems of linear equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. The system is said to be inconsistent otherwise, having no solutions. Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or infinite solutions (the latter in the case that all component equations are equivalent).
More general systems involving nonlinear functions are possible as well. These possess more complicated solution sets involving one, zero, infinite or any number of solutions, but work similarly to linear systems in that their solutions are the points satisfying all equations involved. Going further, more general systems of constraints are possible, such as ones that involve inequalities or have requirements that certain variables be integers.
Solving systems of equations is a very general and important idea, and one that is fundamental in many areas of mathematics, engineering and science.