Answer:
[tex]PS = 7x- 7[/tex]
Step-by-step explanation:
Given
Straight Line, PS
Such that
[tex]PR = 4x -2[/tex]
[tex]RS = 3x - 5[/tex]
Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that
[tex]PS = PR + RS[/tex]
Substitute [tex]PR = 4x -2[/tex] and [tex]RS = 3x - 5[/tex]
[tex]PS = 4x - 2 + 3x - 5[/tex]
Collect like terms
[tex]PS = 4x + 3x- 2 - 5[/tex]
[tex]PS = 7x- 7[/tex]
Hence, the length of PS is [tex]PS = 7x- 7[/tex]
