Question

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

Answer 1

Answer: $YA=7x-1$

Step-by-step 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:

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