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

x + 3 y = 29

3 y = 11

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

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Explanation

The correct answer is 18 . It's given by the second equation in the system that 3 y = 11 . Substituting 11 for 3 y in the first equation in the system, x + 3 y = 29 , yields x + 11 = 29 . Subtracting 11 from both sides of this equation yields x = 18 .