The pair of equations y = 0 and y = - 7hasa)one solutionb)two solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

The equation are y=0 and y=-7
y=0 is on the x-axis and y=-7 is the line parallel to the x-axes at a distance 7 units from y=0
The line will be parallel
if we try to solve these equations we get 0=7 which is absurd.
So the equations are inconsistent.
Therefore there is no solution.

Answer

Here the equation are y=0 and y=-7
y=0 is on the x-axis and y=-7 is the line parallel to the x-axes at a distance 7 units from y=0
The line will be parallel
if we try to solve these equations we get 0=7 which is an absurd.
so the equations are inconsistent.
Therefore there is no solution.
Hence option D is correct.

Answer

Answer

The pair of equation y=0 , y=-7 has no solution.

Explanation- y=0 ,y= -7 will line on X axis .
They are parallel to each other.

The equation has parallel line have no solution.

Answer

**Explanation:**

To determine the number of solutions for the given pair of equations, we need to analyze the intersection of their graphs.

1. **Graphical Representation:**

Let's plot the two given equations on a coordinate plane:

Equation 1: y = 0

Equation 2: y = -7

The graph of Equation 1 is a horizontal line passing through the x-axis at y = 0.

The graph of Equation 2 is also a horizontal line, parallel to the x-axis, passing through the y-axis at y = -7.

Since these two lines are parallel, they will never intersect. Therefore, there is **no common point** that satisfies both equations.

![Graph](https://edurev-notes.s3.amazonaws.com/152/2E/1522E54B-0D0D-4C26-9E8F-A6C2A2A6E8FD.jpeg)

2. **Algebraic Representation:**

We can also solve the pair of equations algebraically to verify the graphical representation.

Equation 1: y = 0

Equation 2: y = -7

Since the y-values are different (-7 and 0), there is no common value for y that satisfies both equations. Therefore, there is **no solution** to this pair of equations.

By comparing the coefficients of the variables (which are both 0), we can see that these equations represent the same line. This means that the two equations are equivalent and represent the same line. Since they represent the same line, they intersect at every point on the line. Hence, there are **infinitely many solutions**.

3. **Conclusion:**

The correct answer is option **d) No solution**. The pair of equations y = 0 and y = -7 do not have any common solution or intersection point.

Answer

Graph of both will be parallel lines to x-axis n will never intersect each other.. so there will no solution..

Answer

Don't understand question

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