Question

Solve the system. Check the solution.x + y = 8(x=y-3

Answer 1

`\begin{gathered} \text{Solution:} \\ (2.5,5.5) \end{gathered}`

Explanation:

Given the following system of equations:

`\begin{gathered} x+y=8\text{ (1)} \\ x=y-3\text{ (2)} \end{gathered}`

Since on equation 2, x is already isolated, substitute it into equation 1:

`\begin{gathered} (y-3)+y=8 \\ \end{gathered}`

Solve for y.

`\begin{gathered} 2y=8+3 \\ y=(11)/(2)=5.5 \end{gathered}`

Knowing the value of y, plug it into equation (2) and solve for x:

`\begin{gathered} x=y-3 \\ x=5.5-3 \\ x=2.5 \end{gathered}`