Solve this problem 5x+6y=60

Answer

There are infinitely many solutions to this equation.

Isolate one variable on one side of the equation. A: 5x+6y=60 => 5x=60-6y
Solve for the other variable in terms of the isolated variable. A: 5x=60-6y => x=(60-6y)/5
Substitute the expression for the isolated variable into the original equation and solve. A: 5x+6y=60 => 5((60-6y)/5)+6y=60 => 60-6y+6y=60 => 0=0