4y-x=2x-4=x+y
solve for x

a system of equations , as below

Step-by-step explanation:

4y-x

2x-4

x+y

use any two of the above to find a formula for one of the variables since they are all equal to each other.. btw.. it makes it much easier .. that they are all equal.  :)

2x-4=x+y ⇒ x-4=y   use this to plug into the y in the top formula

4(x-4)-x=2x-4 ⇒ 4x-16-x=2x-4 ⇒ 3x-16=2x-4 ⇒ x=12  yay! ;) now plug in 12 for x

2(12)-4=(12)+y ⇒ 24-4 = 12 +y ⇒ 8=y   yay ! now we have both x and y

x=12

y= 8

this checks by plugging in the two number found for x & y  (btw I had to try this about 4 times ) :P  I kept messing up the algebra  which is s easy to mess up.  

dwe

step-by-step explanation:

ewd

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: