Math Problem Statement
Which ordered pair is a solution of the equation? [ 7x-5=4y-6] Choose 1 answer: Choose 1 answer: (Choice A) Only [(2,4)] A Only [(2,4)] (Choice B) Only [(3,6)] B Only [(3,6)] (Choice C) Both [(2,4)] and [(3,6)] C Both [(2,4)] and [(3,6)]
Solution
To determine which ordered pair is a solution to the equation , let's test each pair by substituting and values.
Step 1: Substitute
For and : Calculating each side: So, is not a solution.
Step 2: Substitute
For and : Calculating each side: So, is not a solution either.
Conclusion
Since neither nor satisfies the equation, the correct answer is actually that neither pair is a solution. However, based on the given choices, none of the options match this outcome directly.
If you'd like further assistance or have questions, feel free to ask!
Here are 5 related questions for practice:
- Can you identify solutions to the equation ?
- What happens if you try and in the equation ?
- What is the slope-intercept form of ?
- How would you graph the equation ?
- What are ordered pairs that satisfy ?
Tip: When verifying if a pair is a solution, always substitute both values and check if the equation holds true.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Substitution
Formulas
Linear equation format \( ax + by = c \)
Theorems
Solution verification of linear equations by substitution
Suitable Grade Level
Grades 7-8