At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10 the cost for two tacos and three small glasses of milk is $5.15 right and solve a system to determine the cost of a taco and the cost of a small glass of milk

the cost of a taco and the cost of a small glass of milk are $1.05 and $0.95 respectively

Step-by-step explanation:

This may be computed through the establishment of  2 linear equations. This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation .

Let the cost of a breakfast taco be a and that of a small glass of milk be r. Then given that the cost for a breakfast taco and a small glass of milk is $2.10

It means that

a + r = 2.1

If the cost for two tacos and three small glasses of milk is $5.15 ,then

2a + 3r = 5.15

2a + 2r = 4.2 ( the first equation multiplied by 2)

r = 0.95

a + 0.95 = 2.1

a = 2.1 - 0.95

= 1.05

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:

c. (3,2,6) is the answer.