Question

For the lengths AB, BC, and AC to equal 9,7, and 16 respectively, what is the value of x?

Answer 1

Hello!

The answer is:

The value of x is 3.9 units.

Why?

From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)

So, writing the equation, we have:

$AB+BC=AC\\\\2x-3+(x+1)=9.7$

Now, adding like terms, we have:

$2x-3+(x+1)=9.7$

$2x+x-3+1=9.7$

$3x-2=9.7$

$3x=9.7+2$

$x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9$

Hence, we have the value of x is 3.9 units.

Have a nice day!