Question

Which equation is equivalent to –k 0.03 1.01k = –2.45 – 1.81k?

Answer 1

Equivalent equation 1.82k+2.48 = 0

where
`\mathbf{k=-(124)/(91)=-1.363}`

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

`k=-(2.48)/(1.82)`

Multiply numerator and denominator by 100

`k=-(248)/(182)=-(124)/(91)=-1.363`

k = -1.363

Answer 2

-k + 0.03 + 1.01k = -2.45 - 1.81k
Multiplying through by 100, we have
-100k + 3 + 101k = -245 - 181k