Tolong bantu jawab soal mtk yg a,b,c,d,e
Jawab:
Penjelasan dengan langkah-langkah:
persamaan linear 2 variabel.
1.
a.
i. x – y = 3 ———–> x = 3 + y
ii. 2x + 3y = 16
dari ( ii )
2x + 3y = 16
2 ( 3 + y ) + 3y = 16
6 + 2y + 3y = 16
5y = 16 – 6
5y = 10
y = 2
dari ( i ) .
x = 3 + 2
x = 5
Hp = { ( 5 , 2 ) }
b.
i. x + 2y = 5 ————> x = 5 – 2y
ii. 4y – 3x = 0
dari ( ii ) .
4y – 3x = 0
4y – 3 ( 5 – 2y ) = 0
4y – 15 + 6y = 0
4y + 6y = 15
10y = 15
y = 15/10
y = 3/2
dari ( i )
x = 5 – 2y
x = 5 – 2(3/2 )
x = 5 – 3
x = 2
c.
i. 2x + 3y = -1
ii. 4x + 3y = 7
——————- —
-2x = -8
x = 4
i. 4x + 6y = -2
ii. 4x + 3y = 7
—————— —
. 3y = -9
. y = -3
Hp = { ( 4 , -3 ) }
d.
i. 3x – 5y = 9
ii. 3x + 2y = -12
——————- —
. -7y = 21
. y = -3
i. 6x – 10y = 18
ii. 15x + 10y = -60
————————- +
21x = -42
x = -2
Hp = { ( -2 , -3 ) }
e.
i. 4x – 2y = 2
ii. 4x – 4y = 8
—————— —
. 2y = -6
. y = -3
i. 8x – 4y = 4
ii. 4x – 4y = 8
—————– —
4x = -4
x = -1
Hp = { ( -1 , -3 ) }
semoga bisa membantu