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The pair of equations y = 0 and y = –7 has (1)(a) One solution (b) Two solutions (c) Infinitely manysolutions(d) No solution

Question

The pair of equations

y = 0

and

y = –7

has

(a) One solution
(b) Two solutions
(c) Infinitely many solutions
(d) No solution

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Solution

To determine the number of solutions for the pair of equations y = 0 and y = -7, we can compare the two equations.

First, let's consider the equation y = 0. This equation represents a horizontal line passing through the y-axis at y = 0.

Next, let's consider the equation y = -7. This equation represents a horizontal line passing through the y-axis at y = -7.

Now, we need to determine if these two lines intersect or not.

Since the y-coordinate of the first equation is always 0, and the y-coordinate of the second equation is always -7, these two lines will never intersect.

Therefore, the pair of equations y = 0 and y = -7 has no solution.

So, the answer is (d) No solution.

This problem has been solved

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