Solve the linear equation for $x$:

$3x - 7 = 2x + 5$

The value of k, for which the system of equations 3x-ky-20 = 0, and 6x-10y+40 = 0 has no solution, is:

Which one of the following pair of linear equations is/are inconsistent?

A. x − y = 6, x − y = 13

B. 2x − 10y = 15, 7x − 35y =25

C. x − y = 15, 5x - 5y = 75

D. 7x − 9y − 3 = 0, 14x − 18y − 8 = 0

Choose the correct answer from the options given below:

If $2^{(x+y)} = 64$ and $128^{(x-y)} = 2$, then what is the value of x?

The product of two positive numbers is 189 and their quotient is $\frac{3}{7}$. Find the sum of these numbers.

The total age of P and Q is 18 years more than the total age of Q and R. R is how many years younger than P ?

Which of the following pair of linear equations is inconsistent?

(A) x - y = 5; 3x - 3y = 10

(B) 2x + 3y = 4; 4x + 6y = 8

(C) 9x + 6y = 6; 3x + 2y = 3

(D) 2x + 5y = 2; 6x - 15y = 4

Choose the correct answer from the options given below: