Resolución de problemas mediante sistemas de ecuaciones. plantear un problema, cuya expresión algebraica coincida para cada uno de los siguientes sistemas de ecuaciones, no debe resolver el sistema de ecuaciones. a. X + y = 13 b. 3x - 30y = 15 c. 8x+3y=37 d. X-5y=4 x-y=1 2x + 10y = 40 8x-3y=50 3x+5y=32

We want to find word problems that gives rise to the following systems of algebraic equations.

a)

x+y=13

x-y=1.

Answer: The sum of the ages of two students is 13. The difference between their ages is 1. Find the ages of the two students.

b)

3x-30y=15

2x+10y=40

Answer:

The difference between 3 times Dan's age and 30 times Mark's age is 15. If the sum of 2 times Dan's age and 10 times Mark's age is 40. Find the ages of Dan and Mark.

c)

8x+3y=37

8x-3y=50

Answer:

The sum of 8 times an eagle's distance above sea level in feet and a herring's distance below sea level is 37 feet. The difference between 8 times an eagle's distance in feet above sea level and 3 times the herring's distance below sea level is 50. Find the distance of the eagle and the herring relative to the surface of the sea.

d) x-5y=4

3x+5y=32

The difference between a pig's age and 5 times the age of a piglet is 4 years. If the sum of 3 times pigs and 5 times the piglet's age is 32 years, find the ages of the pig and its piglet.