Solve the system of inequalities by graphing.
y>6x–1
–x+5y≤5
Select a line to change it between solid and dotted. Select a region to shade it.
The first inequality y > 6x - 1 can be rewritten as y = 6x - 1.
The second inequality -x + 5y ≤ 5 can be rewritten as y = 0.2x + 1.
Now, we will graph both equations on the same graph:
- The line y = 6x - 1 will be a solid line because the inequality is greater than (not equal to).
- The line y = 0.2x + 1 will be a solid line because the inequality is less than or equal to.
Now, we will shade the region that satisfies both inequalities:
The shaded region will be above the line y = 6x - 1 and below the line y = 0.2x + 1.
I am sorry, but as a text-based AI model, I am unable to create a graph for you. However, you can use graphing software or tools to input the equations y = 6x - 1 and y = 0.2x + 1 to visualize the solution.