Share & grow the world's knowledge!
We want to connect the people who have knowledge to the people who need it, to bring together people with different perspectives so they can understand each other better, and to empower everyone to share their knowledge.
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation. Here's why: Multiplication: If yRead more
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation.
Here’s why:
Multiplication: If you multiply both sides of the equation by the same non-zero number, the equality is maintained. For example, if the equation is x=3, multiplying both sides by 2 gives 2x=6, which still has the solution x = 3.
Division: Similarly, if you divide both sides of the equation by the same non-zero number, the equality holds. For example, if the equation is 2x=6, dividing both sides by 2 gives x=3.
Conclusion:
The solution remains the same whether we multiply or divide both sides by a non-zero number. The correct answer is (b) remains the same.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
The graph of line x – y = 0 passes through:
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation. Step 1: Rewrite the equation The equation is: x−y=0 This simplifies to: x=y Step 2: Check the options by substituting the coordinates into theRead more
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation.
Step 1: Rewrite the equation
The equation is: x−y=0
This simplifies to: x=y
Step 2: Check the options by substituting the coordinates into the equation x=y.
Option (a): (2, 3) Substitute x=2 and y=3 into the equation: 2 = 3
This is false. So, (a) is incorrect.
Option (b): (3, 4)
Substitute x = 3 and y = 4 into the equation: 3 = 4
This is false. So, (b) is incorrect.
Option (c): (5, 6)
Substitute x = 5y and y = 6 into the equation: 5 = 6
This is false. So, (c) is incorrect.
Option (d): (0, 0)
Substitute x = 0 and y = 0 into the equation: 0 = 0
This is true. So (d) is correct.
Conclusion:
The graph of the line x−y=0x – y = 0x−y=0 passes through (0, 0), so the correct answer is (d) (0, 0).
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
Solution of the equation 2x + 1 = x + 3 is:
Step 1: Simplify the equation 2x+1=x+3 Step 2: Subtract x from both sides to get all x-terms on one side. 2x−x+1=3 x+1=3 Step 3: Subtract 1 from both sides to isolate x. x=3−1 x=2 Conclusion: The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to ChapteRead more
Step 1: Simplify the equation
2x+1=x+3
Step 2: Subtract x from both sides to get all x-terms on one side.
2x−x+1=3
x+1=3
Step 3: Subtract 1 from both sides to isolate x.
x=3−1
x=2
Conclusion:
The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
In graphical representation of y = -4, line is:
The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x. Analyzing the options: Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This optionRead more
The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x.
Analyzing the options:
Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This option is correct.
Option (b): parallel to the y-axis
A line parallel to the y-axis would have an equation of the form x=constant, not y=−4. Therefore, this option is incorrect.
Option (c): passes through the origin
The origin is at (0,0), but the equation y=−4 represents a line where y is always −4, so the line does not pass through the origin. This option is incorrect.
Option (d): None of these
Since we have already found the correct option, this is incorrect.
Conclusion:
The correct answer is (a) parallel to the x-axis. This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
The solution of the equation x – 2y = 4 is:
To solve the equation x - 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation. Checking the options: Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation: 0 -2(2) = 0 - 4 = -4 This does not satisfy the equation x - 2y = 4. So,Read more
To solve the equation x – 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation.
Checking the options:
Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation:
0 -2(2) = 0 – 4 = -4
This does not satisfy the equation x – 2y = 4. So, (a) is incorrect.
Option (b): (4, 0)
Substitute x = 4 and y = 0 into the equation:
4 – 2(0) = 4 – 0 = 4
This satisfies the equation x – 2y = 4. So , (b) is correct.
Option (c): (2, 0)
Substitute x = 2 and y = 0 into the equation:
2−2(0)=2−0=2
This does not satisfy the equation x−2y=4. So, (c) is incorrect.
Conclusion:
The correct solution is (b) (4, 0).
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/