Final answer:
To graph the equations 'x=5' and 'y=-7', draw a vertical line through x=5 and a horizontal line through y=-7 on a coordinate plane. They intersect at the point (5, -7), which is the solution to the system.
Step-by-step explanation:
To graph the pair of equations x=5 and y=-7 on the same axes, you would plot two lines on a coordinate plane. The equation x=5 represents a vertical line that intersects the x-axis at 5. This means that for any value of y, x will always be 5. To graph this line, simply draw a straight vertical line through the x-coordinate of 5. Similarly, the equation y=-7 represents a horizontal line that intersects the y-axis at -7. This means that for any value of x, y will always be -7. To graph this line, draw a straight horizontal line through the y-coordinate of -7.
When you graph these two equations on the same set of axes, they will intersect at the point (5, -7). This point is the solution to the system of equations, as it is the point where both equations are satisfied.