Answer:
[tex]x=\frac{62}{7}\approx8.86[/tex]
Step-by-step explanation:
Since P is between K and M, this means that:
[tex]PM+PK=MK[/tex]
Substitute them for the equations:
[tex](3x+5)+(x+16)=(11x-41)[/tex]
Combine like terms:
[tex]4x+21=11x-41[/tex]
Subtract 4x from both sides:
[tex]21=7x-41[/tex]
Add 41 to both sides:
[tex]62=7x[/tex]
Divide both sides by 7:
[tex]x=\frac{62}{7}\approx8.86[/tex]
And we're done!
