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Algebra / Linear equations in two variables Difficulty: Easy

The equation 46 = 2 a + 2 b gives the relationship between the side lengths a and b of a certain parallelogram. If a = 9 , what is the value of b ?

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Explanation

The correct answer is 14 . It's given that the equation 46=2a+2b gives the relationship between the side lengths a and b of a certain parallelogram. Substituting 9 for a in the given equation yields 46=29+2b, or 46=18+2b. Subtracting 18 from both sides of this equation yields 28=2b. Dividing both sides of this equation by 2 yields 14=b. Therefore, if a=9, the value of b is 14 .