Solve the following system of equations graphically on the set of axes below. y = -x + 4 3x – y = 8 Plot two lines by clicking the graph. Click a line to delete it

To solve the system of equations graphically, we first need to identify the two equations you have:

1. Equation 1: ( y = -x + 4 )
2. Equation 2: Rearranging the second equation ( 3x – y = 8 ) gives us ( y = 3x – 8 ).

Now, let’s plot these two lines.

### Step 1: Plot the first equation ( y = -x + 4 )

– Find the y-intercept (where ( x = 0 )):

– ( y = 4 ) (point: (0, 4))

– Find the x-intercept (where ( y = 0 )):

– ( 0 = -x + 4 ) → ( x = 4 ) (point: (4, 0))

### Step 2: Plot the second equation ( y = 3x – 8 )

– Find the y-intercept (where ( x = 0 )):

– ( y = -8 ) (point: (0, -8))

– Find the x-intercept (where ( y = 0 )):

– ( 0 = 3x – 8 ) → ( x = frac{8}{3} ) (approx. (2.67, 0))

### Step 3: Draw the lines

– Connect the points for