HURRY Dox needs to solve the system of equations
below.
4x + 5y = 7
2x - 3y = 9
He decides to use the elimination method to
cancel out the x terms in order to first solve for y.
Dox uses the following steps:
Step 1: 4x + 5y = 7
-2(2x) - 3y = 9
Step 2: 4x + 5y = 7
-4x - 3y = 9
Step 3: 2y = 16
Step 4: y = 8
Did Dox use the correct steps to solve for y?
A. Yes, Dox correctly solved for y.
B. No, Dox should have multipled 2x by 2 instead of
by-2.
C. No, Dox should have multiplied the entire
second equation by -2.
D. No, Dox should have multiplied the entire
second equaiton by -4

d

step-by-step explanation:

d

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: