# Diofant equation

In the set of integers (Z) solve the equation:

Write result with integer parameter

$212x+316y=0$

Write result with integer parameter

$t\in Z$

(parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)### Correct answer:

Tips to related online calculators

Do you want to calculate greatest common divisor two or more numbers?

Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Diofant 2

Is equation ? solvable on the set of integers Z? - Seedcake

Seedcake costs 44 cents. How many minimum seedcakes we must buy that we can pay in cash only whole euros? - Segments

Line segments 62 cm and 2.2 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide? - MO C–I–1 2018

An unknown number is divisible by just four numbers from the set {6, 15, 20, 21, 70}. Determine which ones. - Common divisors

Find all common divisors of numbers 30 and 45. - Seven numbers

Write seven 4-digit numbers that are divisible by 3 and at the same time by 4. - The tickets

The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices. - Four poplars

Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be? - Three friends

Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together. - Decompose

Decompose into primes and find the smallest common multiple n of (16,20) and the largest common divisor D of the pair of numbers (140,100) - LCD 2

The least common denominator of 2/5, 1/2, and 3/4 - Hectares

The tractor plows the first day of 4.5 ha, the second day 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest of the possible. How many hectares did it plow in one hour (what is i - Diofant equation

250x + 120y = 5640 - Tissues

The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than - Coloured numbers

Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div - Reminder and quotient

There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1, - Shepherd

The shepherd has fewer than 500 sheep; where they can be up to 2, 3, 4, 5, 6 row is always 1 remain, and as can be increased up to 7 rows of the sheep, and it is not increased no ovine. How many sheep has a shepherd?