Step 1: We have a line segment XZ, with point Y between X and Z.
Therefore, we have:
XY + YZ = XZ
Replacing with the values given:
7a + 5a = 6a + 24
Like terms:
7a + 5a - 6a = 24
6a = 24
Dividing by 6 at both sides:
6a/6 = 24/6
a = 4
Step 2: Now we can find the length of the line segment, this way:
YZ = 6a + 24
Replacing a by 4
YZ = You can finish the calculation