1. Is the equation true, false, or open? 9p + 8 = 10p + 7 (1 point) a-Open; there is a variable. b-True; the expressions are the same for all values of the variables. c-False; the expressions are never the same.

Question

mathstudent55 · Answer

Solve the equation. What do you get?

anonymous · Answer

p=1 but that dosnt give me the answer

mathstudent55 · Answer

Good. You're on the way to the answer.

mathstudent55 · Answer

Look at choice c: False; the expressions are never the same.
You just showed that the expression is true for p = 1, so c can be eliminated.

anonymous · Answer

but i dont get when its asking me about the open true or false

mathstudent55 · Answer

Now look at choice b: b-True; the expressions are the same for all values of the variables. 
That is not correct. The expression only works for p = 1, so this choice can also be eliminated.

anonymous · Answer

and u can eliminate c because the expressions are the same?

mathstudent55 · Answer

Now look at choice a: a-Open; there is a variable.
This is the answer. The given expression cannot be said to be true or false since there is a variable, but if you give the variable the correct value (in this case 1) then the expression is true. This is what open means.

mathstudent55 · Answer

We eliminated c because there is at least one value that makes the expressions equal. You found that value to be p = 1. That's why c is not correct.

anonymous · Answer

i get it now thanks

mathstudent55 · Answer

Here's an example of an equation that is never true:

x = x + 1

Try solving it. What do you get?

anonymous · Answer

you cant

mathstudent55 · Answer

Correct. When you subtract x from both sides you get 0 = 1 which is a false statement.
This equation is an example of c. False, the expressions are never the same.
There is no solution to this equation. It is a false statement.