D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB
1 answer:
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Answer:
x equals five thirteenths
Step-by-step explanation:
To solve this, we will follow the steps below;
× x +
= 4 × x
+
= 4x
= 4x
Multiply both-side of the equation by 4
× 4= 4x × 4
On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;
3x + 5 = 16x
subtract 3x from both-side of the equation
16x - 3x = 5
13x = 5
Divide both-side of the equation by 13
=
(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)
x =
x equals five thirteenths