Which values of a and b make the equation true? (2xy)^4 ---------- =4x^a (y^b) 4xy
2 answers:
Answer:
B) a = 3, b = 3 .
Step-by-step explanation:
Given : =
.
To find : Which values of a and b make the equation true.
Solution : We have given that =
.
By exponential same base rule : if base are same then power will be add.
=
.
Solving exponent
16 =
.
On equating x variable
=
.
By exponent rule : if =
then m =n.
So, 4 = a+1
On subtracting by 1 both sides
a = 3.
On equating y variable ,
4 = b+1
On subtracting by 1 both sides
b = 3 .
Therefore, B) a = 3, b = 3 .
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9514 1404 393
Answer:
C, A, A
Step-by-step explanation:
In general, you ...
- identify the coefficients of one of the variables
- swap them, and negate one of them
- multiply the corresponding equations by the "adjusted" coefficients.
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In problem 1, the x-coefficients are 8 and 2. A common factor of 2 can be removed so that we're dealing with the numbers 4 and 1. Assuming we want to multiply one of the equations by 1, leaving it unchanged, the value we want to multiply by will be -4. After we swap the coefficients, that multiplier is associated with equation 2:
multiply equation 2 by -4 . . . (eliminates x)
Likewise, the y-coefficients in problem 1 are -1 and 3. Again, if we want to multiply one of the equations by 1, leaving it unchanged, the coefficient we will change the sign of is -1 (becomes 1). After we swap the coefficients, the multiplier 3 is associated with equation 1:
multiply equation 1 by 3 . . . (eliminates y)
These two choices are B and A, respectively, so the one that does NOT work for problem 1 is choice C, as indicated below.
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The other problems are worked in a similar fashion.
