Question

The pair of equations y=0 and y=-7 has: (a)one solution (b)two solution (c)infinitely many solution (d)no solution

Answer 1

The pair of equations y = 0 and y = - 7 has no solution

Given : The pair of equations y = 0 and y = - 7

To find : The pair of equations has

(a) one solution

(b) two solution

(c) infinitely many solution

(d) no solution

Solution :

Here the given pair of equations are

y = 0 and y = - 7

Now y = 0 represents the x axis

y = - 7 represents the equation of the line parallel to x axis at a distance 7 unit from origin

So y = 0 and y = - 7 represents two parallel lines

We know that two parallel lines never intersect

Also it is obvious that for the given two pair of equations the point of intersection is the solution of the equations

So y = 0 and y = - 7 has no solution

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Since x = 0 and x = 5 never intersect

So there exists no solution

Graph : Graph is referred to the attachment . In the graph green line represents x = 0 and red line denote x = 5

Answer 2

Answer:

The pair of equations $y=0$ and $y=-7$ has no solution.

Step-by-step explanation:

Given:

The pair of equations $y=0$ and $y=-7$.

To find: The pair of equations has

(a) one solution

(b) two solution

(c) infinitely many solutions

(d) no solution

Step 1

Here the given pair of equations are

$y=0$ and $y=-7$

Now $y=0$ represents the $x$ axis

$y=-7$ represents the equation of the line parallel to $x$ axis at a distance 7 units from the origin.

Step 2

So $y=0$ and $y=-7$ represents two parallel lines.

We know that two parallel lines never intersect

Also, it is evident that for the given two pairs of equations the point of intersection exists in the solution of the equations.

Therefore, $x$ and $y=-7$ has no solution.

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