Question

Answer the following given the system of equations 2x - y = 7 and 3x + y = 3 1. Find a solution to the system by graphing. To do this you would need to solve the equation for y (rewrite into y=mx+b form). Show your work.

Answer 1

Step-by-step explanation:

The functions are given below as

`\begin{gathered} 2x-y=7----(1) \\ 3x+y=3-----(2) \end{gathered}`

Step 1:

Express the function in the form of thr equation of the line below

`y=mx+b`

By doing this to equation(1), we will have

`\begin{gathered} 2x-y=7 \\ y=2x-7----(3) \end{gathered}`

By doing gthis to equation (2), we will have

`\begin{gathered} 3x+y=3 \\ y=-3x+3----(4) \end{gathered}`

Hence,

Using a graphing calculator, the solution to the system is given below as

`x=2,y=-3`