27x + 14 = 3(9x - 7)
A. x = 0
B. x = -35
C. no solution
D. x = 0 or x = -35
E. infinitely many solutions
To solve the equation 27x + 14 = 3(9x - 7), we can start by expanding the expression on the right side:
27x + 14 = 3(9x - 7)
27x + 14 = 27x - 21
Next, we can isolate the x term by subtracting 27x from both sides:
14 = -21
Since the equation simplifies to a contradiction (14 does not equal -21), there is no solution to this equation. Therefore, the correct answer is:
C. no solution
To solve the equation 27x + 14 = 3(9x - 7), we can start by distributing the 3 on the right side of the equation:
27x + 14 = 27x - 21
Next, we can subtract 27x from both sides of the equation to eliminate the x terms:
14 = -21
Since 14 is not equal to -21, the equation is inconsistent. Therefore, the answer is:
C. no solution
To solve the equation 27x + 14 = 3(9x - 7), we need to simplify and isolate the variable x.
Step 1: Distribute the 3 on the right side of the equation:
27x + 14 = 27x - 21
Step 2: Move all terms involving x to one side of the equation. Subtract 27x from both sides:
27x - 27x + 14 = 27x - 27x - 21
14 = -21
Step 3: We arrived at a contradiction, where 14 is not equal to -21. This means that there is no value of x that satisfies the equation.
Therefore, the correct answer is C. no solution.