147k views
4 votes
When solving a system of two equations via substitution, there will always be only one answer.

a. true
b. false?

1 Answer

3 votes
no false.
Remember the solution(s) to a system of equations is where the graphs all intersect if at all.
For the case of say a system of 2 lines, you can see the different possible outcomes..
-- If the two lines intersect at some point (x,y), that is one unique solution
-- If the two lines are parallel to each other, you see there are no intersection points and therefore this system of two parallel lines has no solutuion.
-- If the two lines overlap, really the same line written as a multiple of the other line, then you see they intersect at all points along the line, here there are infinite solutions.
User Inhan
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories