Naomirodas7idn
Answered

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Describe the number of solutions to a system of linear equations when the graphs of the
equations do not intersect, intersect in exactly one point, and intersect at all points.

Sagot :

25leeelisaidn

Answer:

when the equations do not intersect they have NO solutions and are parallel

When they intersect at one point, they have ONE solution

When they intersect at all points, they have infinite solutions and are the same line/equation.

Step-by-step explanation:

View image 25leeelisa
View image 25leeelisa
View image 25leeelisa

A system of linear equation has no solution, only one solution, and infinite solutions when the graph of the equation do not intersect, intersect in exactly one point and intersect at all points respectively.

What is system of linear equations?

A system of linear equations is a collection of one or more linear equations involving the same variables. A system of linear  equation has

  • no solution when the graph do not intersect each other.
  • only one solution when the graphs intersect at one point.
  • infinite solutions when the graph of the equations intersect at all points.

Therefore,

From the graph we can see that " the system of linear equations has no solution, only one solution, and infinite solutions when they do not intersect, intersect in one point, and intersect at all point".

Learn more about the system of linear equations here:  

https://brainly.in/question/5130012

#SPJ2

View image Anshuyadav
View image Anshuyadav
View image Anshuyadav
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