Solving Simultaneous Linear Equations in Graphical Method

Q.

How do you solve linear equations by graphical method$?$

Q.

How many number of solutions does pair of equations y=0 and y=-5 has ???

Q. The pair of equations y = 0 and y = −5 has

(a) one solution
(b) two solutions
(c) infinitely many solutions
(d) no solution

Q. The intersection point of two lines on the graph indicates that the solution of two linear equations is undefined.

1. True
2. False

Q.

In the equation $10y=80$, the value of variable is $y=8$. Then check whether it satisfies the equation or not?

Q.

Match the equations A, B, C, D with the lines L₁, L₂, L₃, L₄, L₅ whose graphs are roughly drawn in the adjoining figure.

A: y = 2

B: y – 2 + 2 = 0

C: 3 + 2y = 6

D: y = -2

E : = 2

1. L₁ = A, L₂ = B, L₃ = D, L₄ = C, L₅ = E

2. L₁ = D, L₂ = C, L₃ = A, L₄ = B, L₅ = E

3. L₁ = B, L₂ = D, L₃ = B, L₄ = A, L₅ = A

4. L₁ = E, L₂ = B, L₃ = A, L₄ = C, L₅ = D

5. L₁ = D, L₂ = E, L₃ = B, L₄ = A, L₅ = E

Q. 1. Show graphically that the system of linear equations 5x – y = 14 ; x – 2y =1 has a unique solution. Write the coordinates where line x – 2y =1 intersects the X-axis.

Q.

Which among the following is the solution of $3x+4y=6?$

1. (-2, 3)

2. (3, 2)

3. (-4, 5)

4. (4, 3)

Q.

Which of the following points lie on the X-axis ?

1. (2, -2)

2. (1, 1)

3. (0, 1)

4. (3, 0)

Q. Show graphically that the system of equations $2x+y=6,6x+3y=18$ has infinitely many solutions.

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. consistent

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

Q.

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:

2x - y = 2

4x - y = 8

Q. Show graphically that the system of equations $3x-y=5,6x-2y=10$ has infinitely many solutions.

Q.

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:

x + 2y = 5

2x - 3y = -4

Q.

For each equation given below, find the value (s) of $p$ so that the equation has equal roots:

$2x^2-7x+p=0$

Q.

Given graph represents _______________ pair of linear equation having _____________solution(s).

1. Consistent, unique

2. Inconsistent , zero

3. Dependent, infinite

4. None of these

Q.

Solve the equations x+2y=4 and 3x-y=5 by graphical method.

1. (2, 5)
2. (3, 1)
3. (2, 1)
4. (2, 1)

Q. Find the value of k, if x = 1, y = 2 is a solution of the equation 3x + 2y = k.

1. 5
2. 3
3. 7
4. 11

Q.

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

1. $(1,1)$

2. $(0,\frac{7}{4})$

3. $(0,7)$

4. $(\frac{7}{3},0)$

Q. Draw the graph of y = x + 10.
Find the coordinates of the point of interserction with the axes.(Take 1 cm = 10 units.)

1. (-10, 10) and (0, 10)
2. (10, 0) and (0, -10)
3. (10, 0) and (0, 10)
4. (-10, 0) and (0, 10)

Q. The points (1, 0), (-4, 0) and (5, 0) lie on

1. X axis
2. Y axis
3. a line parallel to the X axis
4. a line parallel to the Y axis

Q. Find the solution of pair of equations y=0 and y= -6.

Q.

Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:

2x + 3y = 8

x - 2y = -3