Math Problem Statement
Is (2, 1) a solution to this system of equations? 10x + y = 3 and 2x + 16y = 20.
Solution
To determine if the point is a solution to the given system of equations:
System of equations:
Step-by-step solution:
We substitute and into both equations:
Equation 1:
This equation is not satisfied.
Equation 2:
This equation is satisfied.
Conclusion:
Since the first equation is not satisfied, the point is not a solution to the system of equations. The correct answer is NO.
Would you like further details or have any questions?
Related Questions:
- What does it mean for a point to be a solution to a system of equations?
- How do you graphically verify if a point satisfies a system of equations?
- How can we solve a system of equations algebraically to find solutions?
- What are some common methods for solving systems of linear equations (e.g., substitution, elimination)?
- Can a system of linear equations have no solution, one solution, or infinitely many solutions?
Tip:
Always substitute the given point into all equations of the system to verify if it satisfies them. If it fails for even one equation, it is not a solution!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Systems of Equations
Substitution
Formulas
Substitution of x and y into equations
Verification: ax + by = c
Theorems
System of Linear Equations
Suitable Grade Level
Grades 7-9