Question

What is the solution to the system of equations below when graphed?y = 2x - 5 y = x + 3. A. (8, 11)B. (2,5)C. (9,12)D. (3,8)

Answer 1

Given the system of equations:

`\begin{cases}y={2x-5} \\ y={x+3}\end{cases}`

Using the second equation in the first equation:

`\begin{gathered} x+3=2x-5 \\ 3+5=2x-x \\ \Rightarrow x=8 \end{gathered}`

Using the second equation, we calculate y:

`y=8+3=11`

Answer: (8, 11)