Solution of linear equation in 2 variables

Q.

The equation $2x+5y=7$has a unique solution, if $x,y$ are

1. Natural numbers

2. Positive real numbers

3. Real numbers

4. Rational numbers

Q.

A system of simultaneous linear equations has infinitely many solutions if two lines:

1. intersect at two points

2. are coincident

3. intersect at one point

4. are parallel

Q.

Identify the points which lie on the line 3x + 4y = 7.

1. 3x - 2y = 5

2. 2x + y = 17

3. x + 2y = 17

4. x - 2y = 4

Q. Sir I actually questions with solutions so that I could refer or verify the answer

Q.

Find the solution of the following system of linear equations from the given options.

1. 

2. 

3. 

4. 

Q. If a line passes through origin, then definitely is true

1. a=0
2. c=0
3. b=0

Q.

Determine whether x = 3, y = 2 is a solution of the equation 3y - 2x = 4. [2 MARKS]

Q. The solution of the equation $\frac{3}{7}+x=\frac{17}{7}$ is ______.

1. 2
2. 3
3. 4
4. 5

Q. If the line represented by the equation $3x+4y+c=0$ passes through the origin, then $c$ =.

1. $2$
2. $1$
3. $0$

Q.

Which of the following equations is a linear equation?

1. 

2. 

3. 

4. 

Q.

The points (0, 1) (2, 7) (-2, -7) (-1, -4) all fall on the line y = 3x + 1

1. True

2. False

Q.

Are linear equations only in one variable?

Q. The pair of equations: x + 2y = 5 and -3x - 6 + 1 = 0, have ______.

1. infinitely many
2. unique solution
3. no solution
4. two solutions

Q. Solve the system of equations:
$-x-3y=-1$
$-2x+3y=-20$

Q.

If kx - 2ky + 15 = 0 passes through the point (3, -1), then k = -3.

1. 3

2. -3

Q.

explain about linear equations by that we can do the working problems very easily whether it is tough but it should be in short cut method

Q.

What is the solution of the equation: $5x+10y=35?$

1. $(1,3)$

2. $(3,2)$

3. $(5,1)$

4. Infinite pair of values of $x$ and $y$

Q.

What is the solution to: x + y = 6 and x - y = 2?

1. (3, 1)

2. (1, 3)

3. (2, 4)

4. (4, 2)

Q. The number of girls(x) is 4 more than the number of boys(y) and x + y =10 then:

1. x-y=4
2. -x-y=-4
3. x+y=-4
4. x-y=-4

Q.

Find the values of $x$ and $y$ that satisfy both the given equations.
$y-2x=4$ and $y-3x=2$

1. $(2,8)$

2. $(8,1)$

3. $(2,4)$

4. $(4,2)$

Q.

For the equation y = 3x - 7, what is x if y = 0?

1. 7/3

2. 0

3. -7/3

4. 7

Q.

Which of following is a solution of the equation, $2x+3y=11?$

1. $x=-2,y=-5$

2. $x=1,y=3$

3. $x=0,y=5$

4. $x=9,y=1$

Q.

Identify the solutions for the given equation 4x+y=16?

1. (0, 16) & (4, 0)

2. (7, 4) & (0, 2)

3. (0, 8) & (8, 0)

4. (5, 0) & (3, 2)

Q.

What is the solution of the equation $3x+7y=30$ if $x=y$?

1. $(1,1)$

2. $(2,2)$

3. $(3,3)$

4. $(4,4)$

Q. Which value of k gives the solution x = 10 and y = 5 for the linear equation x = 4y - 2k ?

1. -4
2. -2
3. 5
4. 11

Q. The point of the form (a, - a) always lies on the line

1. x = 1
2. y = x
3. y = - a
4. x + y = 0

Q. Find the value of k for which the following system of equations has a unique solution:

Q.

Solve: $x+11=40$

Q. The solution of the equation $\frac{3}{7}+x=\frac{17}{7}$ is ______.

1. 2
2. 3
3. 4
4. 5

Q. On decreasing the temperature, what happens to the solubility of solute in solution?

1. increases

2. decreases

3. remains same

4. cannot be determined