Q:
# What are some examples of multistep equations with variables on both sides?

**Multistep equations with variables on both sides include 4x + 3 = 8x + 6, 2y + 7 = 4y - 2, 2x + 3y = 4(x - 1) + 2y and 3z(x + 4) = 2z + 3xy.** Each equation is solved by moving terms from one side of the equal sign to the other side until the desired variable is isolated.

Equations are balanced using the addition and multiplication properties of equality. The addition property of equality states that an equation remains balanced when a term is added to both sides of an equation. The multiplication property of equality states that an equation remains balanced when both sides of an equation are multiplied by a nonzero number.

For example, in the equation x - 4 = 6, the addition property is used to add four to each side and isolate x. The result is x = 10. When solving the equation x/4 = 2, the multiplication property is used to multiply both sides by four. The result is x = 8.

Since many equations have multiple different variables, the solution to these equations can change by solving for different variables. In the equation x + 3 = y - 5, the solution is either x = y - 8 or y = x + 8. Because of this, multiple variable algebra problems state to solve for a specific variable.

Learn more about Algebra-
Q:
## How do you do linear equations?

A: Linear equations may be solved by isolating the variable or variables. Solving linear equations involves undoing whatever operations have been done to the ... Full Answer >Filed Under: -
Q:
## What is elimination in algebra?

A: Elimination is a method for solving a system of two or more algebraic equations by transforming the system so that one of the variables cancels out. It is ... Full Answer >Filed Under: -
Q:
## What is the history of linear equations?

A: Linear algebra originated as the study of linear equations and the relationship between a number of variables. Linear algebra specifically studies the solu... Full Answer >Filed Under: -
Q:
## What is a simultaneous equation solver?

A: A simultaneous equation solver is an online tool that provides answers for equations that involve two or more unknown variables. Some solvers show the step... Full Answer >Filed Under: