which values of p and q result in an equation with no solutions?
qx + 56 = −28x + p
(select all that apply)
a)q = −28 and p = −56
b)q = −56 and p = −56
c)q =−28 and p = 56
d)q =−28 and p = 28

The form of equation with no solution is:

0 = any number, but not 0.

As you see, there are only numbers, but not x, so Q = -28 (answer a), c) or d)). If so we have:



Now, when P = 56 the equation will be always true (56 = 56), so every x will be a solution. We don't want that so P ≠ 56 and the answers are a) (Q=-28 and P=-56) and d) (Q=-28 and P=28).