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.

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24th April, 2020

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