10. 2x + 7y = 1
2x - 4y = 12
solve for y

The solution for y = -1.

Step-by-step explanation:

Given:

   ....(1)

 ....(2)

So, to solve for y, first we solve for x in equation (2):

⇒

Dividing both sides by 2,

⇒            

Now, substituting the value of x  in equation (1):

⇒

⇒

⇒

⇒

⇒

Dividing both sides by 11,

⇒

Therefore, the solution for y = -1.

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: