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

1 answer

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.