PSAT Math Grid-Ins Question 30: Answer and Explanation
Question: 30
6(2y + z) = 12y + 18
In the equation above, z is a constant. For what value of z does the equation have an infinite number of solutions?
Correct Answer: 3
Explanation:
3
The question asks for the value of z for which the provided equation will have an infinite number of solutions. First, isolate z. Distribute the 6 to get 12y + 6z = 12y +18. Subtract 12y from both sides to get 6z = 18. Then divide both sides by 6 to get z = 3. If z is set equal to 3, the equation will have infinitely many solutions, because the y terms will always be eliminated. The correct answer is 3.
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