The value of x in the equation $2x - 3 = 7 - 3x$

Two water pipelines are represented by the equations $kx + 3y +1 = 0$ and $2x + y + 3 = 0$. For what value of k, the pipelines cross each other?

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

The pair of linear equations mx + 2y + 3 = 0 and 3x + 6y + 2 = 0 intersect each other, if

Linear equations $3x + 5y = 19$ and $10x - 3y = 24$ have solution $x = \frac{\alpha}{3}$ and $y = \frac{\beta}{2}$, then the value of $\alpha + \beta$ is:

The value of 'y' in the question $2x + 3y - 7 = 0$ if $x = -3/2$

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