27x + 14 = 3(9x - 7)
Responses
A x = 0x = 0
B x = −35x = −35
C no solutionno solution
D x = 0 or x = −35x = 0 or x = −35
E infinitely many solutionsinfinitely many solutions
To solve the equation, we will begin by distributing the 3 on the right side of the equation:
27x + 14 = 27x - 21
Next, we will subtract 27x from both sides to isolate the variable term:
14 = -21
This equation is not true for any value of x. Therefore, it has no solution.
The correct response is:
C) no solution.
To solve the equation 27x + 14 = 3(9x - 7), we will follow these steps:
Step 1: Distribute the 3 on the right side of the equation:
27x + 14 = 27x - 21
Step 2: Subtract 27x from both sides of the equation to isolate the variable:
27x - 27x + 14 = 27x - 27x - 21
14 = -21
Step 3: Since the equation simplifies to a false statement (14 = -21), there is no solution.
Therefore, the correct response is:
C) no solution
To solve the given equation 27x + 14 = 3(9x - 7), we need to find the value of x that satisfies the equation.
Let's start by simplifying the equation using the distributive property:
27x + 14 = 27x - 21
Now, let's collect like terms and isolate the variable x:
27x - 27x = -21 - 14
0 = -35
Since we have obtained the equation 0 = -35, which is false, this means that there is no solution that satisfies the given equation.
Therefore, the correct response is C) no solution.