Answer:
Equivalent equation 1.82k+2.48 = 0
where [tex]\mathbf{k=-\frac{124}{91}=-1.363}[/tex]
Step-by-step explanation:
–k+0.03+1.01k = –2.45–1.81k
First bring all the values to the left hand side of the equation changing the signs accordingly
-k+0.03+1.01k+2.45+1.81k = 0
Bring all the k terms and non k terms together
-k+1.01k+1.81k+0.03+2.45 = 0
Solve the k terms and the non k terms
0.01k+1.81k+2.48 = 0
⇒1.82k+2.48 = 0
Take the non k term to the right hand side which will change the sign
1.82k = -2.48
Rearranging the equation we get
[tex]k=-\frac{2.48}{1.82}[/tex]
Multiply numerator and denominator by 100
[tex]k=-\frac{248}{182}=-\frac{124}{91}=-1.363[/tex]
k = -1.363
