System of equations - practice problems - page 6 of 98
Number of problems found: 1942
- Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - Sum of 24
The sum of the two numbers is 95. If one exceeds the other by 15, find the numbers. - Giraffe 2
The lifespan of a guinea pig is six years less than that of a giraffe. The lifespan of a tiger is four times that of a guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity of the giraffe. - The nuts
There are 159 nuts in two bags, 15 more in the first than in the second. How many nuts are in the bags? - Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms? - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6. - Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Value 4
If 5/18 of some number = 425, what is the value 13/18 of this number? - T-shirts and hat
Five t-shirts and a hat cost £62.00 Two t-shirts and a hat cost £29.00 How much does a t-shirt cost? How much does a hat cost? - Boys and girls
There are 48 children in the sports club. Boys are ten more than girls. How many girls go to the club? - Rabbits 3
Viju has 40 chickens and rabbits. If, in all, there are 90 legs. How many rabbits are there with Viju? - Have solution
The sum of four consecutive even numbers is 92. Determine these numbers. - Parallelogram
Side a of a parallelogram is twice longer than side b. Its circumference is 78 dm. Calculate the length of the sides of a parallelogram. - Can
A watering can full of water weighs 10 kg. Half-full can weighs 5.5 kg. How much weight can? - Belgium vs Italy
Belgium played a match with Italy and Belgium won by two goals. The match fell a total of 6 goals. Determine the number of goals scored by Belgium and by Italy. - Football season
Dalibor and Adam together scored 97 goals in the season. Adam scored nine goals more than Dalibor. How many goals were scored each? - ATC camp
The owner of the campsite offers 79 places in 22 cabins. How many of them are triple and quadruple? - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI - In triangle
In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC. - Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3
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