Question

Solving Equations with Variables on Both Sides Calculator

A) Utilize numerical methods for integration.
B) Solve the system of equations explicitly.
C) Apply the method of undetermined coefficients.
D) Use a calculator to simplify and solve.

Answer 1

To solve equations with variables on both sides, combine like terms, isolate the variable, and solve for it.

Step-by-step explanation:

When solving equations with variables on both sides, you can follow these steps:

1. Combine like terms on each side of the equation to simplify it.
2. Move all the variables to one side of the equation and all the constants to the other side by adding or subtracting them.
3. Simplify the equation further if needed.
4. Divide both sides of the equation by the coefficient of the variable to isolate the variable.
5. Solve for the variable by performing the necessary operations.
6. Check your solution by substituting it back into the original equation and see if the equation holds true.

For example, if we have the equation 2x + 5 = 3x - 1, we can start by subtracting 2x from both sides to move the variables to one side. This gives us 5 = x - 1. Then, we add 1 to both sides to isolate the variable x, giving us 6 = x. Therefore, x = 6 is the solution to the equation.