PLEASE HELP!! What is the point of intersection when the system of equations below is graphed on the coordinate plane? XY=1 yx=1 no intersection point infinit
Mathematics
korbinwilkinsen
Question
PLEASE HELP!!
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
XY=1
yx=1
no intersection point
infinite intersection points
(1, 0)
(–1, 0)
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
XY=1
yx=1
no intersection point
infinite intersection points
(1, 0)
(–1, 0)
2 Answer

1. User Answers vquinones21
No intersection point, First choice 
2. User Answers RenatoMattice
Answer: First option is correct.
Stepbystep explanation:
Since we have given that
[tex]xy=1(1)\\\\yx=1\\\\\implies xy=1(2)[/tex]
So, we first check its consistency:
[tex]a_1=1,b_1=1,c_1=1\\\\a_2=1,b_2=1,c_2=1[/tex]
So, [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{1}{1}\neq \frac{1}{1}\\\\1=1\neq 1[/tex]
So, it is the parallel lines.
Hence, there is no intersection points.
Therefore, First option is correct.