If you were to use the substitution method to solve the following
system, choose the new equation after the expression equivalent to x
from the second equation is substituted into the first equation.
3x + 2y = -21
x-3y = 4 (6 points)

x = 4 , y = -3

Step-by-step explanation:

To solve the system of equation using substitution method

we say let

3x + 2y = -21 equation 1

 x-3y = 4 equation 2

from equation 2

x-3y = 4 equation

x = 4 + 3yequation 3

substitute for equation 3 into equation 1

3x + 2y = -21 equation 1

3(4+3y) + 2y = -21

12 +  9y +2y = -21

11y = -21 -12

11y =  -33

divide both sides by the coefficient of y which is 11

11y/11 = -33/11

y = -3

put the value of y = -3 into equation 3

x = 4 + 3yequation 3

x = 4 + 3(-3)

x = 4 + 0

x = 4

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.