Math Problem Statement
determine whether the ordered pair is a solution to the given equation. {y=6x-11 {-2x-3y=-7
Solution
To determine if an ordered pair is a solution to the given system of equations, we first need the ordered pair. Since you haven't provided one, let's first clarify the system of equations and explain the process.
The given system of equations is:
y = 6x - 11 \tag{1} -2x - 3y = -7 \tag{2}
Process:
- Substitute the ordered pair into both equations (when it's provided) and see if both equations hold true.
- If the values of and satisfy both equations, then the ordered pair is a solution.
If you'd like to provide a specific ordered pair (for example, ), I can plug it into both equations and check if it's a solution.
Feel free to provide the ordered pair, or I can demonstrate the process with any random pair.
Relative Questions:
- What happens if only one equation is satisfied by the ordered pair?
- How do you solve this system of equations algebraically?
- Could graphing these equations help visualize their solutions?
- Can this system have no solution or infinite solutions?
- What is the best method to solve systems of equations in general?
Tip: Always substitute the ordered pair into both equations to ensure it's a valid solution.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
y = 6x - 11
-2x - 3y = -7
Theorems
Substitution Method
Solution of a System of Linear Equations
Suitable Grade Level
Grades 8-10
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