asked 132k views
1 vote
if the graph of two equations of a system arae two parallel lines, the system is eaid to have​ solution O true O false

asked
User Temuraru
by
7.5k points

1 Answer

3 votes

The statement given is false.

If a system of equations is represented as two parallel lines in a graph, it means that these two lines do not intersect. Essentially, the reason we graph these lines is to identify the solution for the system of equations, which is the point or points where the lines intersect.

However, parallel lines, by their very definition, do not intersect. They continue on infinitely in the same direction without ever crossing paths. Because of this, there can be no points of intersection and thus, no solution for the system of equations.

Consequently, the claim - 'if the graph of two equations of a system are two parallel lines, the system is said to have a solution' - is false.

answered
User Zasaz
by
8.8k points

Related questions

1 answer
3 votes
41.7k views
1 answer
1 vote
155k views
asked Jul 24, 2024 20.0k views
Cicolus asked Jul 24, 2024
by Cicolus
7.3k points
1 answer
1 vote
20.0k views
Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.