There are two numbers whose sum is 47. Three times the smaller number is equal to 9 more than the larger number. What are the numbers?

answer.

14 and 33

Step-by-step explanation:

lets use x for the smaller number and y for the other

x+y=47

3x=y+9

x=47-y

3(47-y)=y+9

141-3y=y+9

put the liketerms together

141-9=3y+y

132=4y. (divide both sides by 4)

y=33

x=14

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:

coins of silver or gold

step-by-step explanation: