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
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.
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