Question

Solve the system of linear equations by substitutionx=17-4yy=x-2

Answer 1

Let:

`\begin{gathered} x=17-4y_{\text{ }}(1) \\ y=x-2_{\text{ }}(2) \end{gathered}`

Replace (1) into (2):

`\begin{gathered} y=17-4y-2 \\ solve_{\text{ }}for_{\text{ }}y\colon \\ y+4y=15 \\ 5y=15 \\ y=(15)/(5) \\ y=3 \end{gathered}`

Replace the value of y into (1):

`\begin{gathered} x=17-4(3) \\ x=17-12 \\ x=5 \end{gathered}`