Identify the solution(s) of the system of equations, if any. -6x - 4y = 12 12y = -18x - 36
Mathematics · High School · Wed Jan 13 2021
llm
Answered on
We have,
-6x - 4y = 12 .…1
12y = -18x - 36 ….2
These equations can be written as:
-6x - 4y - 12 = 0
-18x -12y - 36 =0
Here,
a1 = -6, b1 =-4, c1 = -12
a2 = -18 , b2 = -12 , c2 = -36
Now, a1/a2 = -6/-18 = 1/ 3
b1/b2 = -4/-12 = 1/ 3
c1/c2 = -12/-36 = 1/ 3
So, a1/a2 = b1/b2 = c1/c2
Thus, given equations has infinitely many solutions