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Algebra / Linear equations in one variable Difficulty: Hard

3(kx+13)= 48 17 x + 36

In the given equation, k is a constant. The equation has no solution. What is the value of k ?

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Explanation

The correct answer is 1617. It's given that the equation 3kx+13=4817x+36 has no solution. A linear equation in the form ax+b=cx+d, where a , b , c , and d are constants, has no solution only when the coefficients of x on each side of the equation are equal and the constant terms aren't equal. Dividing both sides of the given equation by 3 yields kx+13=4851x+363, or kx+13=1617x+12. Since the coefficients of x on each side of the equation must be equal, it follows that the value of k is 16 17 . Note that 16/17, .9411, .9412, and 0.941 are examples of ways to enter a correct answer.