Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?y = x + 5y = –2x – 1A.(0, –1)B.(–2, –1)C.(–2, 3)D.(0, 5)SUBMITarrow_backPREVIOUS

To solve the system of equations by graphing, follow these steps:

1. Draw a coordinate plane on your paper.

2. Graph the first equation, y = x + 5. To do this, start by plotting the y-intercept (0,5). Then, since the slope is 1 (or 1/1), from the y-intercept, move up 1 unit and to the right 1 unit to plot your next point. Draw a line through these points.

3. Graph the second equation, y = -2x - 1. Start by plotting the y-intercept (0,-1). The slope is -2, so from the y-intercept, move down 2 units and to the right 1 unit to plot your next point. Draw a line through these points.

4. The solution to the system of equations is the point where the two lines intersect.

By looking at the options given, the point of intersection appears to be (-2, 3), so the answer is C.(-2, 3).

Please note that this is a rough estimation. For an exact solution, you would need to solve the system algebraically or use a more precise method of graphing.