Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]BC = 24[/tex]
[tex]AC = 2x + 1[/tex]
[tex]BA = 7x - 4[/tex]
Required
Find x
The given parameters shows that A is a point on BC;
So:
[tex]BC = BA + AC[/tex]
Substitute values for BC, BA, AC
[tex]24 = 7x - 4 + 2x + 1[/tex]
Collect Like Terms
[tex]24 + 4 - 1 = 7x + 2x[/tex]
[tex]27 = 9x[/tex]
Solve for x
[tex]x = 27/9[/tex]
[tex]x = 3[/tex]
