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K, M, and P are collinear points with P between Kand M.
PM = 3x + 5
PK = x + 16
and MK = 11x - 41
Solve for x.

Respuesta :

xKelvin

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!

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