Question

If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.

a. x = 6, EF = 17, FG = 24
b. x = 1, EF = 7, FG = 12
c. x = 1, EF = -3, FG = -3
d. x = 6, EF = 7, FG = 12

Answer 1

EG is the whole thing.
This means that EF + FG = EG

EF=2x-5
FG=3x-6
EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
d. x = 6, EF = 7, FG = 12