Question

Solve the equation for the given domain. Graph the solution set. 3x – y = 1 for x = {–1, 0, 1, 3}

Answer 1

I think you meant "evaluate the given equation."

3x – y = 1 becomes 3x-1=y. Then: 3(-1)-1 = y = -4 when x=-1.

The y-values for {0, 1, 3} are {-1, 2, 8}

Answer 2

To solve this equation over this domain and graph the solution set, first we need to proceed with the calculation of the y-values for each x-values.

1) First, let's substitute x = -1 into the equation.
- For x = -1, the equation is y = 3*-1 - 1=-3 -1 = -4.

2) Second, let's substitute x = 0 into the equation.
- For x = 0, the equation is y = 3*0 - 1= 0 -1 = -1.

3) Third, let's substitute x = 1 into the equation.
- For x = 1, the equation is y = 3*1 - 1= 3 -1 = 2.

4) Lastly, substitute x = 3 into the equation.
- For x = 3, the equation is y = 3*3 - 1= 9 -1 = 8.

Now that we have all the y-values, we can plot the points on a graph.

- The point for x = -1 is (-1,-4)
- The point for x = 0 is (0,-1)
- The point for x = 1 is (1,2)
- The point for x = 3 is (3,8)

So draw four points on your graph representing these four points. Label your x-axis as 'x' and your y-axis as 'y'. The title of your graph is 'Plot of the function 3x - y = 1'. Remember to use a grid for accuracy.

Your graph should show a linear pattern, as the original equation represents a linear equation. Finally, you have successfully plotted the points on the graph accordingly.