9
algebraDetermine the number of solutions:
A
No solution
B
Exactly one solution
C
Infinitely many solutions
D
Exactly three solutions
Correct Answer: C
Choice C is the correct answer. Let's simplify the first equation.
Step 1: Divide the first equation by 7:
This is exactly the second equation!
Step 2: Both equations represent the same line, 💡 Strategic Tip: Always simplify equations by factoring out common factors before comparing.
Choice A is incorrect because no solution requires parallel lines with different constants.
Choice B is incorrect because one solution requires different slopes.
Choice D is incorrect because linear equations cannot have exactly three solutions.