+73 In the equation above, a, b, and c are constans. If the equation has infinitely many solutions, which of the following must be equal to c?
2(x+b) = ax+c
A) a
B) b
C) 2a
D) 2b
I know the answer is D but can anyone explain it? Thanks!!!!!!!!!!
AND THIS ONE!
If 3x-6y = 9z, which of the following expressions is equivalent to x^2 - 4xy + 4y^2
A) 9z
B) 3z^2
C) 9z^2
I honestly suck at theses problems with mutiple constants invovled in an equation. Does anybody have tips solving these types of problems? It will make my day. Thank YOU!!!!
+129852 2(x+b) = ax+c Simplify
2x + 2b = ax + c If this has infinite solutions, then a = 2 and 2b = c
So...note that
2x + 2b = 2x + c will be true for any real x whenever 2b = c
If 3x-6y = 9z, which of the following expressions is equivalent to x^2 - 4xy + 4y^2
Dividing the first equation through by 3, we have
x - 2y = 3z (1)
Notice that x^2 - 4xy + 4y^2 factors as (x -2y) ( x - 2y) (2)
So subbing (1) into (2) we get (3z) (3z) = 9z^2
