219k views
4 votes
15. 5x – 2y = -19
8x + 5y = -55

User Derekyy
by
8.4k points

1 Answer

3 votes

Answer:

x = -5

y = -3

Explanation:

5x – 2y = -19 (1)

8x + 5y = -55 (2)

<=> 5(5x – 2y) = 5(-19)

2(8x + 5y) = 2(-55)

<=> 25x - 10y = -95 (3)

16x + 10y = -110 (4)

Add (3) and (4), we have:

25x - 10y + 16x + 10y = -95 -110

<=> 41x = -205

=> x = -5

Replace x = - 5 in (1), we have:

5(-5) – 2y = -19

<=> -25 - 2y = -19

=> y = [-25 - (-19)]/2 = -3

User Ian Abbott
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories