Solve:
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 need to simplify both sides and isolate the variable x.
On the left side, we can use the distributive property to multiply 3 by (9x - 7):
27x + 14 = 3 * 9x - 3 * 7
27x + 14 = 27x - 21
Next, we can subtract 27x from both sides to eliminate the x terms on the right side:
27x + 14 - 27x = 27x - 21 - 27x
14 = -21
This is a contradiction, as 14 cannot equal -21. Therefore, there is no solution to this equation.
The correct answer is C) no solution.