Question

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.

Answer 1

12x+4y=60
3x+y=15. Then y=15-3x
12x+4(15-3x)=60
12x+60-12x=60
0x=0
Then every x and every y is solution.