Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Ann solved the equation 9+2n3=12(4n+6)9 + 2n - 3 = \frac{1}{2}(4n + 6). Here are her last two steps:\newline6+2n=2n+36 + 2n = 2n + 3\newline6=36 = 3\newlineWhich statement is true about the equation?\newline(A)The solution is n=63n = \frac{6}{3}.\newline(B)There is no solution because 6=36 = 3 is a false equation.\newline(C)There are infinitely many solutions because 6=36 = 3 is a true equation.\newline(D)The solution is (6,3)(6, 3).

Full solution

Q. Ann solved the equation 9+2n3=12(4n+6)9 + 2n - 3 = \frac{1}{2}(4n + 6). Here are her last two steps:\newline6+2n=2n+36 + 2n = 2n + 3\newline6=36 = 3\newlineWhich statement is true about the equation?\newline(A)The solution is n=63n = \frac{6}{3}.\newline(B)There is no solution because 6=36 = 3 is a false equation.\newline(C)There are infinitely many solutions because 6=36 = 3 is a true equation.\newline(D)The solution is (6,3)(6, 3).
  1. Simplify equation: Simplify the right side of the equation: 12(4n+6)=2n+3\frac{1}{2}(4n + 6) = 2n + 3
  2. Subtract terms: Subtract 2n2n from both sides: 6+2n2n=2n+32n6 + 2n - 2n = 2n + 3 - 2n, which simplifies to 6=36 = 3
  3. Analyze result: Analyze the equation 6=36 = 3. This statement is false, indicating no solution exists for the equation

More problems from Solve trigonometric equations