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3x = 7 mod 4

5y = 8 modulo 3

2x is congruent to 7 mod 17 Excel Download for Members Only Quizzes Available for Members Only Unlimited Practice Problem Generator for Premium Users Only Flashcards for Members Only

Solve 3x ≡ 7(mod 4)

__Step 1: Calculate d = (3,4)__

Checking our GCF Calculator, we see that (3,4) = 1

__Step 2: We check to see if 1 | 7__

Based on this, there will be 1 solutions mod 4

Our Greatest Common factor sets up a Diophantine equation below

3x - 4y = 7

Running the Extended Euclidean Algorithm for 3 and 4, we get**x = 1** and y = **-1**

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3x = 7 mod 4

5y = 8 modulo 3

2x is congruent to 7 mod 17 Excel Download for Members Only Quizzes Available for Members Only Unlimited Practice Problem Generator for Premium Users Only Flashcards for Members Only

Solve 3x ≡ 7(mod 4)

Checking our GCF Calculator, we see that (3,4) = 1

7 = | 7 |

1 |

Based on this, there will be 1 solutions mod 4

Our Greatest Common factor sets up a Diophantine equation below

3x - 4y = 7

Running the Extended Euclidean Algorithm for 3 and 4, we get

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Interested in reaching over 250,000 people per month? Sponsor this calculator for a year with your own ad