how many solutions does 2x + y =3 & 2y = -4x + 6 have?

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1 Answer

2x + y = 3
y = -2x + 3
2y = -4x + 6

Thus, the two equations are actually the same.

This means that there are infinitely many solutions, and any point on the line 2x + y = 3 is a solution.
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