Solving System of Equations

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Questions and Answers

Solve the system of equations: $3x = -5y$ $6x - 7y = 17$

$x = 1$, $y = -3$

Flashcards

Elimination Method

A method used to solve a system of equations by manipulating equations.

Substitution Method

A method used to solve systems of equations by solving one equation for one variable and then substituting this expression into the other equation.

System of Equations

A set of two or more equations containing the same variables.

Solution to a System

A point (x,y) that satisfies all equations in the system.

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Consistent System

A system of equations that has at least one solution.

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Inconsistent System

A system of equations that has no solution.

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Independent System

A system of equations with exactly one solution.

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Dependent System

A system of equations where one equation is a multiple of the other, resulting in infinite solutions.

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Study Notes

  • System of equations:
  • 3x = -5y
  • 6x - 7y = 17

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