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Algebra / Systems of two linear equations in two variables Difficulty: Medium

3 x + 6 = 4 y

3 x + 4 = 2 y

The solution to the given system of equations is x,y. What is the value of y ?

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Explanation

The correct answer is 1 . Subtracting the second equation from the first equation in the given system of equations yields 3x-3x+6-4=4y-2y, which is equivalent to 0+2=2y, or 2=2y. Dividing each side of this equation by 2 yields 1 = y .