Finding solution for consistent pair of LE

Q. One of the solutions of the pair of equations $\frac{a}{x}-\frac{b}{y}=0\text{and}\frac{a{b}^2}{x}+\frac{a^{2}b}{y}=a^2+b^2\text{is:}$

1. $x=a$
2. $y=-b$
3. $x=-a$
4. $x=a{b}^2$

Q. Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

Q.

Question 5
For all real values of c, the pair of equations x – 2y = 8 and 5x – 10y = c have a unique solution. Justify whether it is true or false.

Q. Question 3 (i)
Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

Q.

Question 3 (iii)
Are the following pair of linear equations consistent? Justify your answer
2a + by = a and 4a + 2by -2a = 0; a, b $\ne$ 0

Q.

For what value of k, the pair of linear equations $3x+ky=9$ and $6x+4y=18$ has infinitely many solutions?

1. -5

2. 6

3. 1

4. 2

Q.

For what value of k, the pair of linear equations $3x+ky=9$ and $6x+4y=18$ has infinitely many solutions?

1. -5

2. 6

3. 1

4. 2

Q.

The solution of the pair of linear equations
$x+2y=5$ and $7x+3y=13$ is (2, 1).

1. True

2. False

Q. Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

Q. Determine the number of solutions for the given pair of linear equations in two variables:
x + 2y + 5 = 0 and -3x – 6y + 1 = 0

Q. Question 3 (i)
Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

Q. Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son. Find the present age of Rahul.

Q. For what value of k, will the following pair of linear equations in two variable have infinitely many solutions?

$2x+3y=4,(k+2)x+6y=3k+2$

1. k = 2
2. k = 3
3. k = 4
4. k = 5

Q. Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

Q. Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son. Find the present age of Rahul.
[ 4 Marks ]

Q. Six years hence, Rahul's age will be three times his son's age and three years ago, he was nine times as old as his son. Rahul's present age is:

Q.

For what value of k, the pair of linear equations $3x+ky=9$ and $6x+4y=18$ has infinitely many solutions?

1. -5

2. 6

3. 1

4. 2

Q. For what value of k, will the following pair of linear equations in two variable have infinitely many solutions?

$2x+3y=4,(k+2)x+6y=3k+2$

1. k = 2
2. k = 3
3. k = 4
4. k = 5