if p and q are integers such that p+q =9, then what is the value of
q - 9 / 4p
if p+q =9, then q = 9-p
and
(q - 9)/(4p) <==== I assumed you meant this, even though it was not typed that way
= (9-p - 9)/(4p)
= -p/(4p)
= -1/4
in solving the algebraic equation
2(x - 5) = 2x + 10, you end up with -10 = 10. What does this mean?
To find the value of (q - 9) / (4p), we need to substitute the given relation p + q = 9 into the expression.
Step 1: Solve for q in terms of p from the given relation p + q = 9.
q = 9 - p
Step 2: Substitute the value of q in terms of p into the expression (q - 9) / (4p).
[(9 - p) - 9] / (4p)
(9 - p - 9) / (4p)
(-p) / (4p)
Step 3: Simplify the expression (-p) / (4p).
-1 / 4
Therefore, the value of (q - 9) / (4p) is -1/4.
To find the value of (q - 9) / (4p), we can use the given information that p + q = 9.
First, solve the equation p + q = 9 for q. Subtracting p from both sides gives us q = 9 - p.
Now substitute this value of q into the expression (q - 9) / (4p), which gives us ((9 - p) - 9) / (4p).
Rearranging and simplifying the expression further, we get (-p) / (4p).
The "p" terms cancel out, leaving us with -1 / 4 as the final result.
Therefore, the value of (q - 9) / (4p) is -1 / 4.