Question

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?

x – 7
x – 3
7x – 7
7x + 3

Answer 1

`PS = 7x- 7`

Explanation:

Given

Straight Line, PS

Such that

`PR = 4x -2`

`RS = 3x - 5`

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

`PS = PR + RS`

Substitute
`PR = 4x -2` and
`RS = 3x - 5`

`PS = 4x - 2 + 3x - 5`

Collect like terms

`PS = 4x + 3x- 2 - 5`

`PS = 7x- 7`

Hence, the length of PS is
`PS = 7x- 7`