How can I find how many solutions are in this equation −14(z−5)=−14z+70?

Question

How many solutions are in this equations?

Answer 1

How can I find how many solutions are in this equation −14(z−5)=−14z+70?

If we distribute the -14 on the left hand side we get

-14z +70 = -14z + 70

if we subtract 70 from each side, and divide by -14 we get

z = z since this is true for all numbers (by the identity property) there are infinitely many solutions to the equation, Try it with any number you can think of, and it will result in a true statement.