Question

If EF=2x-12, FG= 3x-15, and EG=23, find values of x, EF, and FG

Answer 1

we have that

*-------------------------*--------------------------------*

E                            F                                     G

EF=2x-12

FG= 3x-15

EG=23

we know that

EF + FG = EG

so

[2x - 12] + [3x - 15] = 23 simplify

5x - 27 = 23 add 27 to both sides

5x = 50 divide both sides by 5

x = 10

EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15

therefore

the answer part a) is

the value of x is 10

the answer part b) is

the value of EF is 8

the answer part c) is

the value of FG is 15