By the method of substitution,solve the following pair of linear equations: $2x + 3y = 11, 2x - y = -1$

If $I$ add $1$ to each of the two given numbers,then their ratio is $1:2$. If $I$ subtract $5$ from each of the numbers,the ratio is $5:11$. Find the numbers.

Form the pair of linear equations for the following problem and find their solution by the substitution method.
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of $10 \, km$,the charge paid is ₹ $105$ and for a journey of $15 \, km$,the charge paid is ₹ $155$. What are the fixed charges and the charge per $km$? How much does a person have to pay for travelling a distance of $25 \, km$?

If $2x + y = 5$ and $y - 1 = 0$,then the value of $x$ is ............

Solve the following pair of linear equations by the method of substitution: $8x + 5y = 9$ and $3x + 2y = 4$.

From the equation $2x + 3y = 8$,we get $y = \ldots$