Given the system of equations: 12x+4y=60 3x+y=15 Use the substitution method to solve the system of equations. Is there a unique solution, no solution, or infinitely many solutions? You must show your work for full credit.
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Here, we have
12x+4y=60 …...(1)
3x+y=15 …….(2)
Using substitution method,
From equation 2
y = 15 - 3x
Putting value of y in equation 1, we get
12x + 4(15 -3x) = 60
12x + 60 - 12x = 60
0 = 0
Thus, lines are coincident which means equations will have infinitely many solutions.