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   Is an ordered pair a solution of a linear equation?

   • If the ordered pair appears to be on the graph of a line, then it is a possible solution of the linear equation. If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the (x, y) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation.

   13.1.2: Graphing Linear Equations - Mathematics LibreTexts

   math.libretexts.org/Bookshelves/Applied_Mathematics/Developmental_Math_(NROC)/13:_Graphing/13.01:_Graphs_and_Applications/13.1.02:_Graphing_Linear_Equations

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   What if an ordered pair is not a solution?

   • If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the (x, y) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation. If the ordered pair does not yield a true statement then it is not a solution.

   Graphing Linear Equations | Beginning Algebra - Lumen Learning

   courses.lumenlearning.com/beginalgebra/chapter/plot-ordered-pairs/

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   How do you know if an ordered pair is a solution?

   • You can also try ANY of the other points on the line. Every point on the line is a solution to the equation y=2x–5 y = 2x–5. All this means is that determining whether an ordered pair is a solution of an equation is pretty straightforward. If the ordered pair is on the line created by the linear equation, then it is a solution to the equation.

   Study Guide - Graphing Linear Equations Using Ordered Pairs - Symbolab

   www.symbolab.com/study-guides/cpcc-algebra-trig-l-/read-or-watch-graphing-linear-relationships.html

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   What is the solution to a system of linear equations in two variables?

   • The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4, 7) (4,7) is the solution to the system of linear equations. We can verify the solution by substituting the values into each equation to see if the ordered pair satisfies both equations.

   Study Guide - Ordered Pairs as Solutions to Systems - Symbolab

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     How to Determine If an Ordered Pair is a Solution to a System of Equations

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     Ex: Determine If An Ordered Pair is a Solution to a Linear Equation

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     Ordered pair solutions to equations | Graphing lines and slope | Algebra Basics | Khan Academy

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3. www.symbolab.com › study-guides › cpcc-algebra-trigStudy Guide - Graphing Linear Equations Using Ordered Pairs

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   If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the ( x , y ) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation.

4. www.symbolab.com › study-guides › cpcc-algebra-trigStudy Guide - Ordered Pairs as Solutions to Systems - Symbolab

   www.symbolab.com › study-guides › cpcc-algebra-trig

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   How To: Given a system of linear equations and an ordered pair, determine whether the ordered pair is a solution. Substitute the ordered pair into each equation in the system. Determine whether true statements result from the substitution in both equations; if so, the ordered pair is a solution.

5. www.youtube.com › watchHow to Determine If an Ordered Pair is a Solution to a System ...

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   This algebra video tutorial explains how to determine if an ordered pair is a solution to a system of equations. Access Full-Length Premium Videos: ...

   • Video Duration: 3 min
   • Views: 271.5K

   • Author: The Organic Chemistry Tutor

6. courses.lumenlearning.com › plot-ordered-pairsGraphing Linear Equations | Beginning Algebra - Lumen Learning

   courses.lumenlearning.com › plot-ordered-pairs

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   If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the ( x , y ) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation.

7. courses.lumenlearning.com › cpcc-algebra-trig-IGraphing Linear Equations Using Ordered Pairs | ALGEBRA ...

   courses.lumenlearning.com › cpcc-algebra-trig-I

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   If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the ( x , y ) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation.

8. math.libretexts.org › Bookshelves › Applied13.1.2: Graphing Linear Equations - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Applied

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   If the ordered pair does not lie on the graph of a line, then it is not a solution. Substitute the (x, y) values into the equation. If the equation yields a true statement, then the ordered pair is a solution of the linear equation.

9. math.libretexts.org › Bookshelves › Algebra4.7: Graphs of Linear Inequalities - Mathematics LibreTexts

   math.libretexts.org › Bookshelves › Algebra

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   Solution OF A LINEAR INEQUALITY. An ordered pair \( (x, y)\) is a solution of a linear inequality if the inequality is true when we substitute the values of \(x\) and \(y\).