0.11(2k+1)+0.07k=0.24(k-1)+0.45

Question

solution for the values. please

Answer 1

 

 

(0.11)*(2*k +1) + 0.07*k = (0.24)(k-1) + 0.45

 

(0.22*k + 0.11) + 0.07*k = (0.24*k) - 0.24 +0.45

 

k*(0.22 +0.07) +0.11 = 0.24*k - 0.24 + 0.45

 

0.29*k + 0.11 = 0.24*k + 0.21

 

k*(0.29 - 0.24) = 0.21 - 0.11 = 0.10

 

0.05*k = 0.10

 

∴k = 2

 

Check

 

Does 0.11*[(2)*(2) +1] = 0.24*(2 - 1) + 0.45?

 

Does 0.55 + 0.07*2= 0.24 + 0.45?

 

Does 0.55 + 0.14 = 0.24 + 0.45?

 

Does 0.69 = 0.69?

 

YES!!!!

 

Answer 2

First you'll want to simplify the entire equation.

 

Multiply out everything. 

 

0.11(2k+1) + 0.07k = 0.24(k-1) + 0.45

 

0.22k + 0.22 + 0.07k = 0.24k - 0.24 + 0.45

 

Simplify.

 

0.29k + 0.22 = 0.24k + 0.21

 

0.5k = -0.01

 

Divide.

 

k = -0.02