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Level 382

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system of linear equations

What two or more linear equations form.

solution of a system of linear equations

any ordered pair that satisfies all the equations in a system

substitution method

In this method, solve an equation for one variable, then replace that solution in the other equation, and solve.

elimination method

The process of removing one of the variables in a system of equations using addition or subtraction in conjunction with multiplication or division and solving the system of equations.

consistent system

a system of equations or inequalities that has at least one solution

inconsistent system

a system of equations or inequalities that has no solution

independent system

a system of equations that has exactly one solution

dependent system

a system of equations that has infinitely many solutions

linear inequality

contains a single variable on either side of the inequality symbol.

solution of a linear inequality

a value or values that make the inequality true

system of linear inequalities

Two ore more linear inequalities together.

solution of a system of inequalities in two variables

Any ordered pair that satisfies all the inequalities in the system.