Question

Sistemas de ecuaciones

Answer 1

Answer:

El Dr. Potter aplicó 32 vacunas de polio y 28 de sarampión.

Step-by-step explanation:

- First, the data must be taken into account to create the equations:

•  X + Y = 60;    (Equation 1)

- Where:

 X = Number of polio vaccines and Y = Number of measles vaccines.

•  4X + 2Y = 184;     (Equation 2)

Where for each polio vaccine there are 4 doses and for each measles vaccine there are 2 doses.

- We clear the variable that we want to find in each equation:

• Y = 60 - X;     (And we call it equation 3)

• Y = (184-4X) / 2;     (And we call it equation 4)

- Now both equations are equalized in terms of the same variable:

• 60 - X = (184 - 4X) / 2

- Then X is cleared to find its value:

• 120 - 2X = 184 - 4X

• 4X - 2X = 184 - 120

• 2X = 64

• X = 32

- Now we demonstrate the value of X obtained in equation 1 or 2 to give the values ​​of Y

• (32) + Y = 60

• Y = 60 - 32

• Y = 28

- Finally, both values ​​are used to see if equation 2 gives us the correct data:

• 4 (32) + 2 (28) = 184

• 128 + 56 = 184

- The answer is given:

Dr. Potter gave 32 polio and 28 measles vaccines.