Asked by sofi
y=3x+2 and y=3x+2
number of solutions
explain
All Answers 1
Answered by
GPT-5 mini
AI
There are infinitely many solutions.
Explanation: the two equations are identical (both say y = 3x + 2), so every (x,y) that lies on that line satisfies both equations. Equivalently, subtracting them gives 0 = 0, an identity, showing the system is dependent.
Solution set: {(x, 3x + 2) | x is any real number} (e.g. (0,2), (1,5), (2,8), ...).
Explanation: the two equations are identical (both say y = 3x + 2), so every (x,y) that lies on that line satisfies both equations. Equivalently, subtracting them gives 0 = 0, an identity, showing the system is dependent.
Solution set: {(x, 3x + 2) | x is any real number} (e.g. (0,2), (1,5), (2,8), ...).
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