Question

Tentukan himpunan penyelesaian
x²+y²=13
x²+y²-2x=9

Answer 1

x²+y²=13
x²+y²-2x=9 _
     2x = 4
     x = 2
2²+y² = 13
y² = 13-4
y = √9
y = 3 atau y = -3
Hp = {(2,-3),(2,3)}

Answer 2

x²+y² = 13 .............[1]

x²+y²-2x = 9 ..........[2]
substitusi [1] ke [2] didapat
13 - 2x = 0
-2x = 9-13
-2x = -4
x = -4/-2 = 2

x=2 --------------> 2²+y² = 13---> y² = 9, y=-3, y=3

HP = {(2.-3),(2,3)}