Solved problems with SYSTEMS OF EQUATIONS | TIPS AND KEYS for exercises
Systems of Linear Equations (2x2): Solved Exercises from Scratch, Step by Step - SUPER SUMMARY, TIPS, AND KEYS - Mathematics 2nd and 3rd Year of Secondary Education (ESO) - University Entrance Exams
Systems of two equations with two unknowns. We will use the substitution, reduction, and elimination methods interchangeably to solve them.
Playlist: Systems of Equations
• SISTEMAS de ecuaciones lineales con dos in...
Problem Statements
NUMBER Problems
Twice one number plus three times another equals 39; and if we add 13 to the first number, we get five times the other.
GEOMETRIC Problems
The perimeter of a rectangle is 64 cm and the difference between the base and height is 6 cm. Calculate the dimensions of the rectangle.
Problems about MOTORCYCLES AND CARS
In a parking lot, there are 55 vehicles, cars and motorcycles. If the total number of wheels is 170, how many cars and how many motorcycles are there?
Problems about COINS / BILLS
Sergio has €10 and €20 bills in his wallet. In total, he has 20 bills and €250. How many bills of each type does he have?
Problems about TEXT TESTS
In a multiple-choice exam, four points are added for each correct answer and one point is subtracted for each incorrect answer. A student answers 17 questions and gets 43 points. How many questions did they answer correctly?
Problems about AGE
Ana is three times as old as her son Jaime. In 15 years, Ana's age will be twice her son's age. How many years older than Jaime is his mother?
Problems about EXCHANGE
Juan and Roberto are talking: Juan: If I take 2 coins from you, I'll have as many as you. Roberto: Yes, but if I take 4 of yours, then I'll have 4 times as many as you. How many coins does each of you have?
Mixture Problems
Extra-quality coffee at €12/kg is mixed with regular coffee at €7/kg to obtain a 40 kg mixture at €9/kg. How many kilograms of each type were mixed?
Fraction Problems
Find a fraction knowing that if the numerator is increased by one, it becomes 1/3, but if the denominator is increased by one, the fraction becomes 1/4.
00:00 Introduction
01:26 Number Problems
07:20 Geometric Problems
13:22 Motorcycle and Car Problems
19:15 Coin/Banknote Problems
25:46 Text Exam Problems
31:26 Age Problems
37:12 Exchange Problems
45:10 Mixture Problems
53:23 Fraction Problems