Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.3 Systems of Linear Equations in Two Variables - Exercise Set 7.3 - Page 446: 66

Answer

Any ordered pair that satisfies all the equations in a system of linear equations is known as a solution to system of linear equations in two variables.

Work Step by Step

Any ordered pair that satisfies all the equations in a system of linear equations is known as a solution to system of linear equations in two variables. A system of linear equations on fulfilling various conditions can have exactly one solution, no solution, or infinitely many solutions.For example, \[\begin{align} & x+2y=11 \\ & 2x-2y=-2 \end{align}\] The ordered pair \[(3,4)\]satisfies both the equations and is thus termed as a solution to the system of linear equations.
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