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Algebra
/ Systems of two linear equations in two variables
Difficulty: Hard
The solution to the given system of equations is . What is the value of ?
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Explanation
The correct answer is . Multiplying the first equation in the given system by yields . Subtracting the second equation in the given system, , from yields , which is equivalent to , or . Dividing both sides of this equation by yields . The value of can be found by substituting for in either of the two given equations. Substituting for in the equation yields , or . Subtracting from both sides of this equation yields . Dividing both sides of this equation by yields , or . Therefore, the value of is , or . Note that 9/5 and 1.8 are examples of ways to enter a correct answer.