Question

Jika sistem persamaan px + qy = 8 dan 3x - qy =38 memiliki penyelesaian ( x,y ) = (2,4) maka nilai p adalah

Answer 1

3x - qy = 38
3(2) - q(4) = 38
6 - 4q = 38
-4q = 38 - 6
-4q = 32
4q = -32
q = -32/4
q = -8

px + qy = 8
p(2) + (-8)(4) = 8
2p - 32 = 8
2p = 8 + 32
2p = 40
p = 40/2
p = 20