SPLDV

soal a

x + 2y = 11

x = 11 - 2y ... (1)

substitusi pers (1) k pers lain

2x - y = 7

2(11 - 2y) - y = 7

22 - 4y - y = 7

5y = 22 - 7

y = 15/5

y = 3

x = 11 - 2

x = 11 - 2.3

x = 5

HP (x,y) = {(5,3)}

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soal b

x = 4y + 2

4x - 2y + 6 = 0 bagi dengan (2)

2x - y + 3 = 0

2(4y + 2) - y + 3 = 0

8y + 4 - y + 3 = 0

7y + 7 = 0

y = -1

x = 4y + 2

x = 4(-1) + 2

x = -2

HP (x,y) = {(-2,-1)}

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soal c

2x - y = 9

2x = y + 9

4x + 2y - 38 = 0 bagi dg (2)

2x + y - 19 = 0

y + 9 + y - 19 = 0

2y - 10 = 0

y = 10/2

y = 5

2x = y + 9

x = (5 + 9)/2

x = 7

HP (x,y) = {(7,5)}