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3 years ago

Sistemas de ecuaciones

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

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.

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