Can you explain the answer of this question below:The pair of equation...
y=0 is x-axis… since every point has y=0. y=-7 is a line parallel to x-axis passing through x=0,y=-7. So the two lines are parallel to each other and are inconsistent which means that it has no solutions because it will never meet.
Can you explain the answer of this question below:The pair of equation...
To explain why the pair of equations y = 0 and y = -7 has no solution, we need to analyze the equations and understand what it means for them to have a solution.
First, let's consider the equation y = 0. This equation represents a horizontal line on the coordinate plane that passes through the point (0, 0). In other words, the y-coordinate of every point on this line is always 0.
Next, let's consider the equation y = -7. This equation represents another horizontal line on the coordinate plane, but this one passes through the point (0, -7). The y-coordinate of every point on this line is always -7.
Now, let's think about what it means for two equations to have a solution. When we solve a system of equations, we are looking for the point (x, y) that satisfies both equations simultaneously. In other words, we are looking for the point where the two lines represented by the equations intersect.
In this case, the equation y = 0 represents a line that is always at y = 0, while the equation y = -7 represents a line that is always at y = -7. These lines are parallel and never intersect. Therefore, there is no point that satisfies both equations simultaneously.
Hence, the pair of equations y = 0 and y = -7 has no solution.