sat suite question viewer
Algebra
/ Linear equations in one variable
Difficulty: Hard
In the given equation, and are constants and . The equation has no solution. What is the value of ?
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Explanation
The correct answer is . A linear equation in the form has no solution only when the coefficients of on each side of the equation are equal and the constant terms are not equal. Dividing both sides of the given equation by yields , or . Since it’s given that the equation has no solution, the coefficient of on both sides of this equation must be equal, and the constant terms on both sides of this equation must not be equal. Since , and it's given that , the second condition is true. Thus, must be equal to . Note that -14/15, -.9333, and -0.933 are examples of ways to enter a correct answer.