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

x-2-4y+7=117

x-2+4y+7=442

The solution to the given system of equations is x,y. What is the value of 6x-2?

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Explanation

The correct answer is 1,677 . Adding the first equation to the second equation in the given system yields x-2+x-2+-4y+7+4y+7=117+442, or 2x-2=559. Multiplying both sides of this equation by 3 yields 6x-2=1,677. Therefore, the value of 6x-2 is 1,677 .