To write: Whether the statement “ a linear system with an equation of a horizontal line and an
equation of a vertical line cannot be solved by substitution” is correct or not.
Answer to Problem 30E
The required answer is: a linear system with an equation of a horizontal line and an
equation of a vertical line cannot be solved by substitution
Explanation of Solution
A linear system with an equation of a horizontal line will have the variable x with constant of value 0, let equation be y=5
Also a linear system with an equation of a vertical line will have the variable y with constant of value 0, let equation be x=2
So the equations are:
Using substitution method is not possible since the variable x in first equation will be 0 and variable y in second equation will be 0 resulting in no substitute value.
Therefore the statement “ a linear system with an equation of a horizontal line and an equation of a vertical line cannot be solved by substitution” is correct.
Chapter 5 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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