Question

Determine whether the following system of equations has one solution, no solution, or an infinite number of solutions. Explain your reasoning.

2x - 4y = 10
7x - 9y = 12

Answer 1

One solution. The lines do not have the same slope (so not parallel) and are not the same line (so not infinitely many solutions). It intersects at one point, therefore it has one solution.

Explanation:

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