# Three unknowns

Solve the system of linear equations with three unknowns:

A + B + C = 14

B - A - C = 4

2A - B + C = 0

Result

A =  4
B =  9
C =  1

#### Solution:

A + B + C = 14
B - A - C = 4
2A - B + C = 0

A+B+C = 14
A-B+C = -4
2A-B+C = 0

A = 4
B = 9
C = 1

Calculated by our linear equations calculator.

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

Do you have a system of equations and looking for calculator system of linear equations?

## Next similar math problems:

1. Three workshops There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
2. Boys and money 270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than than Paul. How much each received?
3. Factory and divisions The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
4. Potatoes For three days the store sold 1400 kg of potatoes. The first day they sold 100 kilograms of potatoes less than the second day, the third-day three-fifths of what they sold the first day. How many kgs of potatoes sold every day?
5. Lee is Lee is 8 years more than twice Park's age, 4 years ago, Lee was three times as old. How old was Lee 4 years ago?
6. Linsys2 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
7. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
8. Elimination method Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
9. A candle A candle shop sells scented candles for \$16 each and unscented candles for \$10 each. The shop sells 28 candles today and makes \$400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How m
10. Legs Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
11. Rectangle Anton Difference between length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
12. Savings Paul has a by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have 3 boys together?
13. Sheep and cows There are only sheep and cows on the farm. Sheep is eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm?
14. Pooja Pooja and Deepa age is 4:5, 4 years back it was 8:11. What is the age of Pooja now?
15. Casey Casey bought a 15.4 pound turkey and an 11.6 pound ham for thanksgiving and paid \$38.51. Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid \$24.84. Find the cost per pound of turkey and the cost per pound of ham.
16. Tickets Tickets to the zoo cost \$4 for children, \$5 for teenagers and \$6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was \$5300. For every 3 teenagers, 8 children went to the zoo. How many te
17. Nine books Nine books are to be bought by a student. Art books cost \$6.00 each and biology books cost \$6.50 each . If the total amount spent was \$56.00, how many of each book was bought?