M L Aggarwal Solutions for Chapter: Pair of Linear Equations in Two Variables, Exercise 7: Objective Questions

One equation of a pair of dependent linear equations is $-5x+7y=2$. The second equation can be

If the pair of linear equations $2x+ky=7$ and $3x-9y=12$ is consistent and independent, then the value(s) of k is (are)

If $x=a, y=b$ is the solution of the equations $x-y=2 \text{and} x+y=4$, then the values of $a$ and $b$are, respectively

The solution of the system of equations $\frac{4}{x}+5y=7$ and $\frac{3}{x}+4y=5$ is

The sum of two natural numbers is$25$ 2 and their difference is $7$. The numbers are

The sum of two natural numbers is $240$ and their ratio is $3 : 5$. Then the greater number is

The sum of the digits of a two-digit number is $9$. If $27$ is added to it, the digits of the number get reversed. The number is

The sum of the digits of a two-digit number is $12$. If the number is decreased by $18$, its digits get reversed. The number is