Question

What is the value of x? Justify each step.
AC = 32
2x
6x + 8
A
B
C
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AB + BC = AC
a.
2x + 6x +8 = 32
b.
8x + 8 = 32
C.
8.x = 24
d.
1 = 3
e.

Answer 1

The value of x is 3.

To find the value of x, we can use the equation AB + BC = AC.
Substituting the given values, we have 2x + 6x + 8 = 32.
Simplifying the equation, we combine like terms: 8x + 8 = 32.
Next, we can isolate the variable by subtracting 8 from both sides: 8x = 24.
Finally, we divide both sides by 8 to solve for x: x = 3.

There is no step where we obtain the result 1 = 3, so option d. is incorrect and can be ignored.
The correct value for x is 3, as obtained in step c.