Consistent Pair of LE

Q.

The pair of linear equations $3x+ky=9$ and $6x+4y=18$ gives infinitely many solutions, then the value of $k$ is ___

Q.

Solve $x-2y=0,3x+4y=20$.

Q. Question 4
For the pair of equations $\lambda$x+3y+7=0 and 2x + 6y – 14 = 0. To have infinitely many solutions, the value of l should be 1. Is the statement true ? Give reasons

Q.

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

1. -5

2. 6

3. 1

4. 2

Q.

For what value of k, the system of equations x + 2y = 5, 3x + ky + 15 = 0 has no solution?

__

Q. Question 1 (i)
For which value (s) $\lambda$, do the pair of linear equations $\lambda x+y={\lambda }^{2}andx+\lambda y=1$ have no solution.

Q.

Find the value of k for which the system of equations 6x + 7y = 0, kx + 21y = 0 has infinitely many solutions. ___

Q. Find the values of k for which the following system of equations have infinitely many solutions.
(i) 2x + 3y = 7
(ii) (k + 2)x + (2k + 1)y = 3(2k - 1)

$\left[3\right]$

Q. Find the value of k for which the system of equations
$6x+7y+3=0,kx+21y+9=0$ has infinitely many solutions.

Q. Find the value of k for which the system of equations
$6x+7y+3=0,kx+21y+9=0$ has infinitely many solutions.

1. 18
2. 16
3. 14
4. 12

Q. $2x-5y=a$
$bx+10y=-8$
In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a ?

1. $8$
2. $-4$
3. $4$
4. $16$

Q.

The lines that represent these two equations $x+2y=5$ and $4x+4y-6=0$ meet at only one point (-2, 3.5). The pair of equations is

1. dependent

2. inconsistent
3. (a) and (b) above.

4. consistent

Q.

Find the value of k for which the system of equations
$6x+7y=0,kx+21y=0$ has infinitely many solutions.

____

Q.

Which of these pairs of lines are consistent?

1. $\sqrt{3}x-y=2;\sqrt{6}x-\sqrt{2}y=2$

2. $\frac{x}{3}+\frac{y}{2}=1;x+\frac{3y}{2}=1$

3. x = 2; 2x - 7y - 5 = 0

4. 3y - 2x = 2; 2x - 3y = 2