If EF=2x-20,FG=3x-19, and EG=26, find the values of x, EF, and FG.

x = 10

EF = 10

FG = 26

Explanation:

Given the following data;

Point EF = 2x - 20

Point FG = 3x-19

Straight line, EG = 26

It can be deducted that the points are on a straight line, EG.

Therefore, EG = EF + FG

Substituting the values into the equation, we have;

26 = 2x - 20 + 3x - 19

Rearranging the equation, we have;

26 + 20 + 19 = 2x + 3x

75 = 5x

x = 75/5

x = 15

To find point EF;

EF = 2x - 20

Substituting the value of "x" into the equation;

EF = 2(15) - 20

EF = 30 - 20

EF = 10

To find point FG;

FG = 3x - 19

Substituting the value of "x" into the equation;

FG = 3(15) - 19

FG = 45 - 19

FG = 26

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