how do I solve this equation? 2x - 5y = 24 plus x + y = -2

Question

How do I solve this equation? 2x - 5y = 24

                                                          x + y = -2

Answer 1

2x - 5y = 24

x + y = -2

multiply the bottom equations by 5

2x - 5y = 24

5x + 5y = -10

add the bottom equation to the top equations

7x + 0y = 14

5x + 5y = -10

divide the top equation by 7 on both sides

x + 0y = 2

5x + 5y = -10

the top equations tells us x = 2

multiply the top equation by -5 on both sides

-5x + 0y = -10

5x + 5y = -10

add the top equation to the bottom equation

-5x + 0y = -10

0x + 5y = -20

divide the bottom equation by 5 on both sides

-5x + 0y = -10

0x + y = -4

the bottom equation tells us y = -4

Answer:  x = 2, y = -4