Question

Examine graphically whether the pair of equations 2x+3y=5 and x+9/6*y=5/2

Answer 1

We can transform the above equations as shown in attachement.

Answer 2

Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
2x + 3y = 5
x = 1, y = 1
x = -2, y = 3

x + 9/6y = 5/2
x = 1 , y = 1
x = -2, y = 3

Plotting these points on a graph and joining them, we get two straight lines.

From the graph, we can see that both lines coincide. They don’t have consistent solutions