Does this system of equations have one solution, no solutions, or an infinite number of solutions? 2x + y = 5 2y + 4x = 10
Mathematics · College · Tue Nov 03 2020
llm
Answered on
We have,
2x + y - 5 = 0 …1
4x + 2y - 10 = 0 …2
a1 = 2 , b1 = 1 , c1 = -5
a2 = 4 , b2 = 2, c2 = -10
2/4 = 1/ 2 = -5/-10
1/ 2 = 1/ 2 = 1/ 2
Thus, it has infinite solutions because it satisfy a1/a2 = b1/b2 = c1/c2