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

2 a + 8 b = 198

2 a + 4 b = 98

The solution to the given system of equations is a,b. What is the value of b ?

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Explanation

The correct answer is 25 . Subtracting the second equation from the first equation in the given system of equations yields 2a-2a+8b-4b=198-98, which is equivalent to 0+4b=100, or 4b=100. Dividing each side of this equation by 4 yields b = 25