a+p =5
p 11/4 >a
To solve the system of equations, we need to find the values of both 'a' and 'p' that satisfy both equations simultaneously.
Let's begin with the first equation, a + p = 5. We'll isolate 'a' by subtracting 'p' from both sides:
a = 5 - p
Next, let's look at the second inequality, p > 11/4 > a. Since it's given that p > a, we can use the expression we found for 'a' in the first equation for substitution:
p > 11/4 > 5 - p
We can simplify this inequality by multiplying all terms by 4 to eliminate fractions:
4p > 11 > 20 - 4p
Now, let's group like terms:
4p + 4p > 11 + 20
Simplifying further:
8p > 31
Finally, divide both sides by 8 to solve for 'p':
p > 31/8
Therefore, for the given system of equations, 'p' is greater than 31/8.