SOLUTION: If (ax-3)(bx+6)=24x^2+cx-18 for all values of x and a+b=10, what are two possible values for c? A. 2 and 12 B. 6 and 24 C. 10 and 30 D. 16 and 30

Question 1040243: If (ax-3)(bx+6)=24x^2+cx-18 for all values of x and a+b=10, what are two possible values for c?
A. 2 and 12
B. 6 and 24
C. 10 and 30
D. 16 and 30
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

-
and given .

Question is, what can be c?
Observe, three equations and three unknown variables.
.

TWO of the equations are only in the two unknowns a and b.
b=10-a
-

-
Possible,
Correspondingly,

Possible c values:
as already found,

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