Question

Substitute Homework

Answer 1

Let:

`\begin{gathered} y=0.05+20_{\text{ }}(1) \\ y=0.015x_{\text{ }}(2) \end{gathered}`

Substitute (1) into (2):

`\begin{gathered} 0.05+20=0.015x \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 20.05=0.015x_{} \\ Divide_{\text{ }}both_{\text{ }}sides_{\text{ }}by_{\text{ }}0.015\colon \\ (20.05)/(0.015)=x \\ x=(4010)/(3)\approx1336.67 \end{gathered}`

Replace the value of x into (2) in order to verify the answer:

`y=0.015((4010)/(3))=20.05`