System of equations - math problems

Number of problems found: 839

The sum 16
The sum of A and B is 36. The difference of A & B is 8. find the larger number of A.
The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy?
Conjugate equation
Find the numbers of a and b, if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i)
Sum and product
The sum of the real numbers x and y is 12. Their difference is 8. What is the value of xy?
Length 9
Length of a rectangle is 8 m less than twice of breadth. If the perimeter of the rectangle is 50. find its length and breadth.
Dimensions of rectangle
Find the dimensions of a rectangle given that its perimeter is 110 cm and its length is 1 cm more than twice its width.
Three unknown numbers
The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers?
One leg
One leg of a right triangle is 1 feet longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle.
Half of 2
Half of Ethan’s string is equal to 2/3 of Kayla’s string. The total length of their strings is 10 feet. How much longer is Ethan’s string than Kayla’s?
The sum 9
The sum of two integers is 4. Their difference is 8. What are this two integers?
The sum 8
The sum of two numbers is 21. If three times the smaller numbers is two less than twice the larger number, find the two numbers.
You must
You must level a rooftop unit on the curb with shims. If you need to shim the unit 13/16” on one side, how many shims will be required if he is given 1/8” and 1/16” shims? Use 10 shims exactly.
In the library
In the library at Lenape Elementary School, there are 2/5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?
6 plates
6 plates and 5 cups cost 37.50 dollars. 7 plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the cost of 1 cup?
Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
Deposit
Oh I total of $15,000 deposited into simple interest accounts the annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7% how much should be invested in each account so that the total interest earned is
Maria 2
Maria is 7 years older than her brother Robert and in 2 years her age will be four times what Robert’s age was three years ago. Find their present ages.
The profit
The profit made by a business in 2018 was triple that made in 2019. The profit made in 2020 was R 3 million less than the profit made in 2019. If the total profit in these 3 years was R 67 million, what was the profit made in 2020?
Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of peach, we get the price of plum • T
Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself?