point B is between point A and C, if AC=7b +13, AB=25, and BC= 3b, b=
solve:
7b+13 = 25+3b
To find the value of b, we can use the given information about the lengths of AC, AB, and BC.
We know that point B is between point A and C, so the sum of AB and BC should equal the length of AC.
From the given information, we have:
AB + BC = AC
Substituting the known values:
25 + 3b = 7b + 13
Now, let's solve this equation for b.
First, let's simplify the equation by combining like terms:
25 + 3b - 7b = 13
Now, let's combine the constant terms on one side and the variable terms on the other side:
-4b + 25 = 13
Next, let's isolate the variable term by subtracting 25 from both sides:
-4b = 13 - 25
-4b = -12
Finally, let's solve for b by dividing both sides of the equation by -4:
b = (-12) / (-4)
b = 3
Therefore, the value of b is 3.