Graphical Representation of the Pair of Equations 8x+5y=9 and 16x+10y=27
To show graphically that the pair of equations 8x+5y=9 and 16x+10y=27 has no solution, we can plot these two equations on a graph and observe if they intersect at a common point.

Plotting the Equations:
- Let's rearrange the equations in slope-intercept form (y=mx+c) to make it easier to plot.
- Equation 1: 8x + 5y = 9 => y = -8/5x + 9/5
- Equation 2: 16x + 10y = 27 => y = -8/5x + 27/10

Graphical Representation:
- Plot the lines corresponding to the two equations on the graph.
- The first line (y = -8/5x + 9/5) has a slope of -8/5 and y-intercept of 9/5.
- The second line (y = -8/5x + 27/10) also has a slope of -8/5 but a different y-intercept.

Observation:
- The two lines are parallel to each other as they have the same slope but different y-intercepts.
- Since parallel lines never intersect, there is no solution to this pair of equations.

Conclusion:
- The pair of equations 8x+5y=9 and 16x+10y=27 has no solution as the lines represented by these equations are parallel and do not intersect at any point on the graph.