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Mapel : MatematikaKelas : VIII SMP
Bab : SPLDV
Pembahasan :
1A.
y = 2x + 6
3x + 4y = 13
Substitusi...
3x + 4(2x + 6) = 13
3x + 8x + 24 = 13
11x = 13 - 24
11x = -11
x = -1
Substitusi...
y = 2x + 6
y = 2(-1) + 6
y = -2 + 6
y = 4
Hp : {-1 , 4}
————————————————
2A.
1/2x - 2/3y = 1
→ 1/4x - 2/6y = 1/2
1/4x + 1/6y = -1
Eliminasi....
1/4x + 1/6y = -1
1/4x - 2/6y = 1/2
—————————(-)
3/6y = -3/2
1/2y = -3/2
y = -3
Substitusi...
1/2x - 2/3y = 1
1/2x - 2/3(-3) = 1
1/2x + 2 = 1
1/2x = -1
x = -2
Hp : {-2 , -3}
3x + 4y = 13 x2===> 6x + 8y = 26
------------------- +
11y = 44
y = 4
y = 2x + 6 ===> 4 = 2x + 6
2x = 4 - 6
2x = -2
x = -1
2a) 1/2 x - 2/3 y = 1 x 1/2 ===> 1/4x - 2/6y = 1/2
1/4 x + 1/6 y = -1 x 1 ===> 1/4x + 1/6y = -1
------------------------ -
-3/6y = 3/2
y = -3
1/2x - 2/3y = 1
1/2x - 2/3 (-3) = 1
1/2x + 2 = 1
1/2x = -1
x = -2
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