Math Problem Statement
Solution
The question asks whether the point is a solution to the following system of equations:
To determine if is a solution, we can substitute and into both equations and check if they satisfy both.
First equation:
Substituting and : This is false, so the point does not satisfy the first equation.
Since it fails the first equation, the point is not a solution to the system.
The answer is False.
Would you like further details or have any questions?
Here are 5 related questions to expand your understanding:
- How do you solve a system of equations graphically?
- What is the significance of a solution in a system of linear equations?
- Can a system of equations have no solution? When does that occur?
- How do you check if a point satisfies a quadratic system of equations?
- What methods are available to solve systems of linear equations (e.g., substitution, elimination)?
Tip: When checking if a point is a solution to a system of equations, always substitute the point into both equations and ensure both are satisfied.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
y = (2/5)x + 8
y = (3/5)x - 5
Theorems
Substitution method
Solution to a system of linear equations
Suitable Grade Level
Grades 8-10