Question 2 :
The values of x and y satisfying the two equation 32x+33y=31, 33x+32y=34 respectively will be

Question 3 :
A line which passes through (5, 6) and (-3. -4) has an equation of

Question 4 :
The graph of the lines $x + y = 7$ and $x - y = 3$ meet at the point

Question 5 :
For what value of k does the system of equations$\displaystyle 2x+ky=11\:and\:5x-7y=5$ has no solution?

Question 7 :
If x and y are positive with $x-y=2$ and $xy=24$ , then $ \displaystyle \frac{1}{x}+\frac{1}{y}$   is equal to

Question 8 :
$\dfrac{1}{3}x - \dfrac{1}{6}y = 4$<br/>$6x - ay = 8$<br/>In the system of equations above, $a$ is a constant. If the system has no solution, what is the value of $a$

Question 9 :
Choose the correct answer which satisfies the linear equation: $2a + 5b = 13$ and $a + 6b = 10$

Question 11 :
Solve the following pairs of linear (simultaneous) equation by the method of elimination by substitution:&#160;$8x + 5y = 9$, $3x + 2y = 4$

Question 12 :
Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:The sum of the digits of a two-dlgit number is $9$. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number<br/>

Question 13 :
Solve the following pair of equations by cross multiplication rule.$x + y = a + b, ax - by = a^2-b^2$<br/>

Question 14 :
The ratio of the present ages of mother and son is $ 12: 5$. The mother's age at the time of the birth of the son was $21$ years. Find their present ages.

Question 15 :
Solve the equations using elimination method:<br>$2x - y = 20$ and $4x + 3y = 0$

Question 16 :
A straight line L through the point $(3, - 2)$ is inclined at an angle of 60$^o$ to the line $\sqrt 3 x + y = 1$. If $L$ also intersects the $x-$axis, then the equation of $L$ is

Question 17 :
The equation of the straight line which passes through $(1, 1)$ and making angle $60^o$ with the line&#160;$x+ \sqrt 3y +2 \sqrt 3=0$ is/are.

Question 18 :
The equations of two equal sides of an isosceles triangle are $ 3x + 4y = 5 $and $4x - 3y = 15$. If the third side passes through $(1, 2)$, its equation is

Question 19 :
A line perpendicular to the line $\displaystyle&#160;3x-2y=5$ cuts off an intercept $3$ on the positive side of the $x$-axis. Then&#160;

Question 20 :
The ratio between the number of passangers travelling by $1^{st}$ and $2^{nd}$ class between the two railway stations is 1 : 50, whereas the ratio of$1^{st}$ and $2^{nd}$ class fares between the same stations is 3 : 1. If on a particular day, Rs. 1325 were collected from the passangers travelling between these stations by these classes, then what was the amount collected from the $2^{nd}$ class passangers ?