If ef=2x-12, fg= 3x-15, and eg=23, find values of x, ef, and fg e f g •••

we have that

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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

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1