number 5 pleaseGive A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48

Question:
Solution:
According to the statement of the problem, we get the following scheme:
According to this scheme, we get the following equation:
[tex]YZ\text{ = YA + AZ}[/tex]this is equivalent to:
[tex]12x+48=14x+10x[/tex]Putting Like Terms Together, we get:
[tex]14x+10x-12x=48[/tex]this is equivalent to:
[tex]12x=48[/tex]solving for x, we obtain:
[tex]x=\frac{48}{12}=4[/tex]So that, we can conclude that the correct answer is:
[tex]4[/tex]