lauracmaas1 lauracmaas1
  • 11-06-2016
  • Mathematics
contestada

Find the value of the variable if P is between J & K.

JP = 3y+1 ; PK = 12y - 4 ; JK = 75

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eternal3fear
eternal3fear eternal3fear
  • 11-06-2016
If P is between J & K

This means that
[tex] JP + PK = JK [/tex]

substitute what they are each equal to and you should get
[tex] 3y + 1 + 12y - 4 = 75 [/tex]
from here we can solve for the variable [tex] y [/tex]

first we can add like terms
[tex] 15y - 3 = 75 [/tex]

then we can add 3 to both sides
[tex] 15y = 78 [/tex]

then we divide both sides by 15
[tex]y = \frac{78}{15} = 5.2 [/tex]


so we have [tex]y = \frac{78}{15} = 5.2 [/tex]
as our answer
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