Solution of a LE in 2 Variables

Q.

Find the value of $k$, if (2, 3) lies on the line represented by the equation $2x=3y-k.$

1. 2

2. 3

3. 5

4. 0

Q.

Assertion: If $x=2,y=1$ is a solution of the equation $2x+3y=k,$ then the value of $k$ is$7.$

Reason: The solution of the line will satisfy the equation of the line.

Q. The given figure shows the path of two balls.

If path followed by the blue ball and the red ball is 2x-5y=4, and 3x-ky=6 respectively.


Determine the point of intersection of the path of the balls. Provided k=7.

1. (0, 2)
2. (2, 2)
3. (0, 0)
4. (2, 0)

Q.

The line represented by the equation $3x-3y=6$ passes through the origin.

1. True

2. False

Q.

Which of the following option satisfies the given linear equation:
$4x+3y=5?$

1. (1, 3)

2. (-1, 3)

3. (3, -1)

4. (-1, -3)

Q.

Which among the following has (-3, 4) as a solution?

1. 2x+3y=6

2. 3x-4y = 7

3. 2x+5y= 8

4. None of these

Q.

Which of these following points does not lie on the line represented by the equation
$4x-y=8$

1. (2, 0)

2. (3, 4)

3. (4, 8)

4. (4, 2)

Q.

If a straight line y = 2x + k passes through the point (1, 2), then the value of k is equal to _____ .

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Q. The value of $k$ if the point $(1,3)$ passes through $2x+5y=k$

1. 17
2. 18
3. 16
4. 20

Q.

If (1, 3k) lies on $kx+4y=26,$ the value of $k$ is

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