Question 7 Multiple Choice Worth 1 points)
(04.02 MC)
What is the solution to the following system of equations?
4x + 2y = 12
x - y = 3
(3, 0)
(0,3)
(0, -3)
(2, 3)

The answer to your question is (3, 0)

Step-by-step explanation:

Data

              4x  +  2y  = 12                 Equation l

                x  -    y   = 3                   Equation ll

Process

To solve this problem use the elimination method

1.- Multiply equation ll by 2

              4x  +  2y  =  12

              2x  -  2y  =    6

              6x      0   = 18

2.- Solve for x

                        6x = 18

                          x = 18/6

                          x = 3

3.- Substitute x in equation ll to find y

                3  -  y  = 3

-Solve for y

                    -y = 3 - 3

                     y = 0

4.- Write the solution

                   (3, 0)

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: