Question

There are infinite solutions to the equation y=x-6. For example, one possible solution is x=10, y=4. Another possible solution could be x=5, y=-1.

Answer 1

Yes, you are correct. The equation y=x-6 represents a linear equation, where the value of y is always equal to x minus 6. Since there are infinitely many possible values for x, there will also be infinitely many corresponding solutions for y. The examples you provided, x=10, y=4 and x=5, y=-1, are indeed two possible solutions.