Addition and Subtraction of Algebraic Equations

Q.

If the points (2k-3, k+2) lie on the graph of the equation 2x+3y+15=0, find the value of k.

Q.

If a linear equation has solutions (-2, 2), (0, 0) (2, -2) then it is of the form:

1. x + y = 0

2. -2x + y = 0

3. -x + 2y = 0

4. y - x = 0

Q. If the point (4, 3) lies on the graph of the equation 3x-ay=6, then find whether (-2, -6) also lies in the same graph

Q.

(0, -3) and (4, 0) are solutions of the linear equation:

1. 3x - 4y = 12

2. 4x - 3y = 12

3. 4x + 3y = 12

4. 3x + 4y = 1

Q.

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I don't understand maths problem...how to solve the sums

Q.

If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is

1. -2

2. -1

3. 2

4. 1

Q.

The point (b, 3) lie on the graph of the linear equation 2x-3y+11=0 find b.

Q.

Which is a solution of 3x + 4y = 2?

1. (x = 2, y = 1)

2. (x = 2, y = 2)

3. (x = 2, y = -1)

4. (x = -2, y =1)

Q. The solution of the linear equation 2x+0y+9=0 in two variables is of the form

Q. Mohan gets 3 marks for each correct question and loses 2 marks for each incorrect question. He attempts 30 questions and obtains 40 marks. Find the number of questions solved correctly by him.

1. 20
2. 25
3. 15
4. 10

Q.

Find value of a and b if y = 1 and x = 2 is solution of linear equation ax + by = 3 and 3a - 2b = 1

1. a = 4, b = 1

2. a = 2, b = 3

3. a = 1, b = 2

4. a = 1, b = 1

Q.

The difference between two positive numbers x and y is 4 and the difference between their reciprocal is 4÷21. Find the numbers.

Q. Question 7
If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and $\frac{y}{x}$- 2

Q. Find the value of a form the equation 5x-7y+6a=0 if its one solution is x=2, y=1.

Q. Match the following equations with their respective solutions.

1. x=1
   y=0
2. x=3
   y=$\frac{1}{3}$
3. x=0
   y=1

Q.

Consider the equation x(y + 1) = x + 3 . Check whether x is directly or inversely proportional to y. [3 MARKS]

Q.

Check which of the following are solutions of the equation x − 2y = 4 and which are not:

(i) (0, 2 (ii) (2, 0) (iii) (4, 0)

(iv) (v) (1, 1)

Q. Question 11
x = 5 and y = 2 is a solution of the linear equation:

A) x + 2y = 7
B) 5x +2y = 7
C) x + y = 7
D) 5x + y = 7

Q.

Which of the following is not a solution of the linear equation x + 2y = 6?

1. (0, 3)

2. (4, 2)

3. (2, 2)

4. (6, 0)

Q.

$x=2,y=-1$ is a solution of the linear equation
(a) $x+2y=0$
(b) $x+2y=4$
(c) $2x+y=0$
(d) $2x+y=5$

Q.

(6, -5) is a solution to 3x + 4y = 38.

1. 3, 4

2. 6, 5

Q. Which one of the following options is true, and why?
$y=3x+5$ has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions

Q. Check if $x=4$ and $y=1$ is a solution of $2x-3y=5$?

Q.

If kx + 3y = 14 passes through the point (1, 2k), find the value of k.

__

Q. Check which of the following are solutions of the equations 2x − y = 6 and which are not:

(i) (3, 0)

(ii) (0, 6)

(iii) (2, −2)

(iv) $\left(\sqrt{3},0\right)$

(v) $\left(\frac{1}{2},-5\right)$

Q. Give geometrical representation of 2x+3=9 in one variable and in two variable????

Q. For the equation 6x − 5y = 8, verify that
(i) (3, 2) is a solution
(ii) (2, 3) is not a solution

Q.

State true or false:

For a pair of equations $4x–y=19$ and $2x+y=23$, the value of $5y–2x$ will be 31, when the actual values of '$x$' and '$y$' are substituted.

1. True

2. False

Q. If the point (2, −2) lies on the graph of the linear equation 5x + ky = 4, find the value of k.

Q.

Compute the value of 'a' by adding the following pair of equations:

2a + b = 15

3a - b = 10

1. 4

2. 5

3. 3

4. 6