##### Asked by: Rbiha Kolck

asked in category: General Last Updated: 24th April, 2020# When you have a system of linear equations How can you form an equivalent linear system?

**Systems**of

**equations**that

**have**the same solution are called

**equivalent systems**. Given a

**system**of two

**equations**,

**we can**produce an

**equivalent system**by replacing

**one equation**by the sum of the two

**equations**, or by replacing an

**equation**by a multiple of itself.

Subsequently, one may also ask, how can you tell if two systems of linear equations are equivalent?

**Two systems** are **equivalent if** either **both** are inconsistent or each **equation** of each of them is a **linear** combination of the **equations** of the other one. It follows that **two linear systems** are **equivalent if** and only **if** they have the same solution set.

Also, what are equivalent expressions? **Equivalent expressions** are **expressions** that are the same, even though they may look a little different. If you plug in the same variable value into **equivalent expressions**, they will each give you the same value when you simplify.

Besides, how do you determine if a system of equations is linear?

There are actually multiple ways to **check if** an **equation** or graph is a **linear** function or not . First make sure **that** graph fits the **equation** y = mx + b . y = the point for y ; x = the point for x ; m = slope ; b = y intercept . By using this **equation** you'll be able to **tell if** it is a **linear** line or not .

What is equivalent system?

**Systems** of equations that have the same solution are called **equivalent systems**. Given a **system** of two equations, we can produce an **equivalent system** by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.