Question

solve the system by the substitution method
12x-10y=4
6x=5y+2

Answer 1

This is an identity, both equations are the same, there is no specific solution, infinite solutions.

Answer 2

Do you see that the two equations are the same?

Answer 3

Take the first equation and divide all terms by 2 getting: 6x-5y=2
Now isolate the x variable on the left.
6x=5y+2 same as the second equation.

Answer 4

Would you say that there are infinitely many solutions
or empty set solution

Answer 5

There are an infinite number of solutions as you actually have one equation, only one line.
Examples of solutions x=2, y=2 or x=0, y=-2/5 and so on and on and on