Question

If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x

Answer 1

Answer:

$\Huge \boxed{x=8}$

$\rule[225]{225}{2}$

Step-by-step explanation:

E ———— F ———— G

EG = EF + FG

27 = (2x - 8) + (4x - 13)

Combining like terms.

27 = 6x - 21

Adding 21 to both sides.

48 = 6x

Dividing both sides by 6.

8 = x

$\rule[225]{225}{2}$

Answer 2

Answer:

x = 8

Step-by-step explanation:

EF = 2x - 8

FG = 4x - 13

EG = 27

E___(8)___F_____(19)_____G

|<---------------- 27 ------------------->|

EF + FG = EG

2x - 8 + 4x - 13  = 27

2x + 4x - 8 - 13 = 27

6x - 21 = 27

6x = 27 + 21

6x = 48

x = 48 / 6

x = 8

EF = 2(8) - 8 = 8

FG = 4(8) - 13 = 19

EF + FG = EG

8 + 19 = 27