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Determine the number of solutions the following systems of equations have without solving them algebraically and explain your reasoning. a. 2x + 3y = 6
4x + 6y = 12
How many solutions does the system of linear equations have?
Explain your reasoning.

User Techno
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2 Answers

4 votes
divide 2nd equation by 2 gives squall two quation .subtract them for values of x or y .so two way of solutions
User Sage Mitchell
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They have infinite solutions.  The reason is that they are the same line when simplified, so on a graph, they intersect at every possible point.  
User Alex Andrews
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