35. titik potong sb x, y = 0
3x + 2y - 12 =0
3x + 2(0) = 12
3x = 12
x = 12/3
x = 4
jadi, titik potongnya (4,0) (B)
36. 3/x - 2/y = -5
3/x + 6/y = 3 (eliminasi x)
--------------------- (-)
-8/y = -8
y = 1
subs y ke pers
3/x - 2/1 = -5
3/x = -5 + 2
3/x = -3
x = -1
jadi Hpnya (-1,1) (D)
37. 3x + 2y = 2
x - 4y = 10
x = 4y + 10
subs x ke pers
3x + 2y = 2
3(4y+10) + 2y = 2
12y + 30 + 2y = 2
14y = -30 + 2
y = -28/14
y = -2
sub y = -2 ke pers
x = 4(-2) + 10
x = -8 + 10
x = 2
jadi,
x - y = 2 - (-2)
= 2 + 2 = 4 (A)
38 . x + y = 62
x - y = 20
x = y + 20
x + y = 62
(y+20) + y = 62
2y = 62 - 20
y = 42/2
y = 21
x = 21 + 20
x = 41
jadi hasil kali kedua bil tsb
= 41 x 21 = 861 (D)
39. misal x = manggis
y = mangga
maka,
3x + y = 53.000
2x + 3y = 75.000
3y = 75.000 - 2x
y = 25.000 - 2/3x
3x + (25.000 - 2/3x) = 53.000
3x - 2/3x = 53.000 - 25.000
9/3x - 2/3x = 28.000
7/3x = 28.000
x = 28.000 x 3/7
x = 12.000
jadi, harga 1 kg manggis 12.000 (B)
40. persamaan dua variabel adalah persamaan garis lurus yg mempunyai dua variabel atau peubah
jadi, persamaan yg sesuai
4a - 5 = 3b (D)
Semoga membantu
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35. titik potong sb x, y = 0
3x + 2y - 12 =0
3x + 2(0) = 12
3x = 12
x = 12/3
x = 4
jadi, titik potongnya (4,0) (B)
36. 3/x - 2/y = -5
3/x + 6/y = 3 (eliminasi x)
--------------------- (-)
-8/y = -8
y = 1
subs y ke pers
3/x - 2/1 = -5
3/x = -5 + 2
3/x = -3
x = -1
jadi Hpnya (-1,1) (D)
37. 3x + 2y = 2
x - 4y = 10
x = 4y + 10
subs x ke pers
3x + 2y = 2
3(4y+10) + 2y = 2
12y + 30 + 2y = 2
14y = -30 + 2
y = -28/14
y = -2
sub y = -2 ke pers
x = 4y + 10
x = 4(-2) + 10
x = -8 + 10
x = 2
jadi,
x - y = 2 - (-2)
= 2 + 2 = 4 (A)
38 . x + y = 62
x - y = 20
x = y + 20
subs x ke pers
x + y = 62
(y+20) + y = 62
2y = 62 - 20
y = 42/2
y = 21
subs y ke pers
x = y + 20
x = 21 + 20
x = 41
jadi hasil kali kedua bil tsb
= 41 x 21 = 861 (D)
39. misal x = manggis
y = mangga
maka,
3x + y = 53.000
2x + 3y = 75.000
3y = 75.000 - 2x
y = 25.000 - 2/3x
subs y ke pers
3x + y = 53.000
3x + (25.000 - 2/3x) = 53.000
3x - 2/3x = 53.000 - 25.000
9/3x - 2/3x = 28.000
7/3x = 28.000
x = 28.000 x 3/7
x = 12.000
jadi, harga 1 kg manggis 12.000 (B)
40. persamaan dua variabel adalah persamaan garis lurus yg mempunyai dua variabel atau peubah
jadi, persamaan yg sesuai
4a - 5 = 3b (D)
Semoga membantu
Sambil dipahami ya, biar ngerti :)
3x+2.0-12 = 0
3x = 12, x = 4 titik (4,0)
37. mencari nilai x-y
3x+2y=2, kali 2
6x+4y=4 eliminasi
x-4y=10
_ _ _ _ _ +
7x = 14, y
x = 2, masukan ke persamaan
x-4y = 10
2-4y = 10, -4y = 10-2 = -8, y = 2
x-y = 2-2 = 0
40. Jawaban D
38. Bilangan cacah
Jumlah = a+b = 62
Selisih = a-b = 20, eliminasi
2a = 82, a = 41, jadi b = 21
Hasil kali a.b = 41.21 = 861
39. persamaannya
3S+1A = 53000 kali 3
9S+3A= 159000
2S+3A= 75000 eliminasi
_ _ _ _ _ _ _ _
7A = 84000, A = 12000, masukan ke persaman
2S = 75000-36000 = 39 000
S = 19500