Math Problem Statement
Is (5,-4) a solution to this system of inequalities? 17x+17y<18 and 15x+14y>20 yes or no
Solution
To determine whether is a solution to the system of inequalities:
-
First inequality:
- Substitute and : Since , the point satisfies the first inequality.
-
Second inequality:
- Substitute and : Since , the point does not satisfy the second inequality.
Thus, the point is not a solution to the system of inequalities.
Would you like more details on the reasoning? Here are 5 related questions:
- How do you determine if a point satisfies a system of inequalities?
- Can systems of inequalities have more than one solution?
- What happens when a point satisfies only one inequality in a system?
- How do graphical methods help in solving systems of inequalities?
- Can you solve systems of inequalities algebraically like systems of equations?
Tip: Always substitute each variable into the inequalities to check if both conditions hold.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Systems of Inequalities
Substitution Method
Formulas
Inequality: 17x + 17y < 18
Inequality: 15x + 14y > 20
Theorems
None (basic algebraic principles are applied)
Suitable Grade Level
Grades 9-10
Related Recommendation
Solution to the System of Inequalities y < 10 and 9x - 8y < -10
Solving Systems of Inequalities: y > -1/2x + 5 and y < -9
Check if Point (6, 3) Satisfies System of Inequalities 7x + 17y > -1 and x > -5
Identify the Point Not Satisfying a System of Linear Inequalities
Determining if a Point is a Solution to a System of Inequalities