Question 1064923

Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)
<pre>AB + BC = AC
2x - 3 + 7x – 10 = 32 ------- Substituting 2x - 3, 7x - 10, and 32, for AB, BC, and AC, respectively
9x – 13 = 32
9x = 32 + 13 
9x = 45
{{{highlight_green(matrix(1,5, x, "=", 45/9, or, 5))}}}