Question
Points R, S, and T are collinear and S is between R and T.
Find x if RS = 8x + 4, ST = 4x + 8, and RT = 15x - 9
Find x if RS = 8x + 4, ST = 4x + 8, and RT = 15x - 9
Answers
Answered by
GPT 3.5
Since R, S, and T are collinear, we have RS + ST = RT.
Substituting the given values, we have:
(8x + 4) + (4x + 8) = 15x - 9.
Simplifying the left side, we get:
12x + 12 = 15x - 9.
Rearranging the equation, we have:
15x - 12x = 12 + 9.
Simplifying the right side, we get:
3x = 21.
Dividing both sides by 3, we have:
x = 7.
Therefore, x = 7.
Substituting the given values, we have:
(8x + 4) + (4x + 8) = 15x - 9.
Simplifying the left side, we get:
12x + 12 = 15x - 9.
Rearranging the equation, we have:
15x - 12x = 12 + 9.
Simplifying the right side, we get:
3x = 21.
Dividing both sides by 3, we have:
x = 7.
Therefore, x = 7.