Question

Please help me find the x

Answer 1

x=2

bd/ba=be/bc

6/6+4=x+1/x+1+x

6/10=x+1/2x+1

12x+6=10x+10

12X-10X=10-6

2X=4

X=4÷2=2

Answer 2

x = 2

Explanation:

Basic proportionality theorem,

`(AB)/(BD)=(CB)/(BE)\\`

AB = AD + DB = 4+6 = 10

CB = CE + EB = x + x +1 = 2x +1

`(10)/(6)=(2x+1)/(x+1)`

Cross multiply

10*(x+1) = 6*(2x+ 1)

10*x + 10*x = 6*2x + 6*1

10x + 10 = 12x + 6

Subtract 10x from both sides

10x + 10 - 10x = 12x + 6 - 10x

10 = 2x + 6

Subtract 6 form both sides

10 - 6 = 2x + 6 - 6

4 = 2x

Divide both sides by 2

4/2 = 2x/2

2 = x

x = 2