Question

Z is the midpoint of YA. If YZ = x + 12, and ZA = 6x - 13, what is YA?

Answer 1

Answer:
`YA=7x-1`

Explanation:

You know that "Z" is the midpoint of "YA". This means the following:

`YZ+ZA=YA`

Now, you know that the expression for "YZ" is:

`YZ = x + 12`

And the given expression for "ZA" is:

`ZA = 6x - 13`

Knowing these expressions, you can substitute them into
`YZ+ZA=YA`, as following:

`( x + 12)+(6x - 13)=YA`

Finally, you must add these expressions in order to get "YA".

Therefore, this is:

`x + 12+6x - 13=YA\\\\7x-1=YA\\\\YA=7x-1`