Is it possible to have a system of two linear equations with exactly two solutions? Discuss your response.
Yea of course!!
x + 2y = 7
2x + 3y = 11
This system have exactly 2 solutions, namely x=1 and y=3.
Linear equations represent straight lines, so they (i) cross in a single point - one solution, or (ii) they are parallel but apart - no solutions, or (iii) they lie on top of each other - an infinite number of solutions.
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