Question

PLEASE HELP SHOW WORK

Answer 1

Answer:

1) x = 18, y = -5

2) x= 1, -3  y = 3, -1

Step-by-step explanation:

1)

x+y=13

y = 13-x

2x-y=5

2x-(13-x) = 5

2x - 13 + x = 5

x - 13 = 5

x = 18

x + y = 13

18 + y = 13

y = -5

2)

y = x+2

x^2 + y^2 = 10

x^2 + (x+2)^2 = 10

x^2 + (x+2)(x+2) = 10

x^2 + x^2 + 4x + 4 = 10

2x^2 + 4x + 4 = 10

2x^2 + 4x - 6 = 0

2(x^2 + 2x - 3) = 0

2(x-1)(x+3) = 0

x = 1, x = -3

y = x+2

y = 1 +2 = 3

y = -3+2 = -1