How do you solve this system of equations? 2x + 3y = 1 4x + 6y = 2 For some reason when I use the elimination method I get x and y to equal 0. Is this correct and does this mean it has infinitely many solutions? 2x + 3y = 1> 4x  6y = 2 {multiplied top equation by 2}
4x + 6y = 2>4x + 6y = 2 when the new equations are added together you get: 0 = 0 if the variables disappear and you get a statement that is always true, there are infinite solutions {meaning these two equations represent the same line} Additional Note: if the variables disappear and you get a statement that is never true, then there is no solution {meaning the lines would not cross or they are parallel lines}  Algebra House
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