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 = 1 +2 = 3
y = -3+2 = -1
