PSAT Math Multiple-Choice Practice Question 352
Question: 352
If (x, y) is a solution to the system of equations shown above, then what is the value of x - y ?
Correct Answer: D
Explanation:
D
Difficulty: Medium
Category: Substitution
Getting to the Answer: Because x has a coefficient of 1 in the second equation, solve the system using substitution. First, solve the second equation for x to get x = 6y + 10. Then, substitute the resulting expression for x into the first equation and solve for y:
Next, substitute this value back into x = 6y + 10 and simplify:
Finally, subtract x - y to find that (D) is correct:
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