Question

A. -3
B. 6
C. 5
D. -4

Answer 1

B

Explanation:

So we want to find the value of x.

Note that the entire segment (JK) is the sum of the segments JI and IK. In other words:

`JK=JI+IK`

We know that JK is (2x-1), JI is (2), and IK is (x+3). Substitute:

`2x-1=(2)+(x+3)`

On the right, add:

`2x-1=x+5`

Add 1 to both sides:

`2x=x+6`

Subtract x from both sides. The right cancels:

`x=6`

And the value of x is 6.

Our answer is B.