Question

If CB=2x+5 and DE=10, find the value of x

Answer 1

Step-by-step explanation:

see the attachment......

Answer 2

Answer:

$x=4$

Step-by-step explanation:

We are given that:

$CB=2x+5$

And that DE = 10. We want to determine the value of x.

Note that CB is the sum of CD and DB. In other words:

$CB=CD+DB$

Similarly, DE is the sum of DB and BE. Thus:

$DE=DB+BE$

From the second equation, we can subtract BE from both sides:

$DE-BE=DB$

Substitute this into the first equation:

$CB=CD+(DE-BE)$

We are given that CB is 2x + 5 and DE is 10.

From the diagram, we can also see that CD is 3x - 1 and BE is 8.

Substitute:

$(2x+5)=(3x-1)+((10)-(8))$

Solve for x:

$\displaystyle \begin{aligned}(2x+5) & = (3x-1) + (2) \\ \\ 2x + 5 & = 3x + 1 \\ \\ -x + 5 & = 1 \\ \\ - x & = -4 \\ \\ x & = 4 \end{aligned}$

In conclusion, the value of x is 4.