Answer:
Step-by-step explanation:
So we know that:
and that DE=10.
Note that CB is the two segments CD and DB added up. In other words:
Similarly, DE is the two segments DB and BE added up. Thus:
From the second equation, subtract BE from both sides:
Substitute this into the first equation:
We know that CB is 2x+5 and DE is 10. Substitute.
Looking at the given picture, we can also see that CD is 3x-1 and BE is 8. Substitute:
Subtract within the parentheses:
Add on the right:
Subtract 5 from both sides:
Subtract 3x from both sides:
Divide both sides by -1:
Thus, the value of x is 4.