8. Solve the following congruences. a. 5x + 3 = 13 (mod 14) b. 4x = 20 (mod 8) 9. Solve the following Diophantine equation. 25x + 13y = 2 10. A small clothing manufacturer produces two styles of...

Please answer question 8 with details on how to do it. Thank you.

Extracted text: 8. Solve the following congruences. a. 5x + 3 = 13 (mod 14) b. 4x = 20 (mod 8) 9. Solve the following Diophantine equation. 25x + 13y = 2 10. A small clothing manufacturer produces two styles of sweaters: cardigan and pullover. She sells cardigans for $25 each and pullovers for $19 each. If her total revenue from a day's production is $1492, how many of each type might she manufacture in a day? There may be multiple answers, so show the general form with k E Z and then pick different values for k to generate some possible answers.