- 3x - 9y<= 27 solve
To solve the inequality -3x - 9y <= 27, you can follow these steps:
1. Divide both sides of the inequality by -3 to isolate the variable term:
(-3x - 9y) / -3 <= 27 / -3
Simplifying this gives:
x + 3y >= -9
2. You have now solved the inequality for x in terms of y. You can graph this inequality by plotting the boundary line x + 3y = -9, which is a straight line with a slope of -1/3 and a y-intercept of -9. This line is solid because the inequality includes equals to.
Then, choose a test point not on the line, such as (0,0), and substitute it into the inequality:
0 + 3(0) >= -9,
0 >= -9.
Since this statement is true, the test point (0,0) lies in the solution region.
3. Shade the region that satisfies the inequality. Since you solved for x + 3y >= -9, the shaded region will be above or on the line x + 3y = -9.
The final graph will be a solid line with shading above or on the line.