Tolong bantu Abang kk
Penjelasan dengan langkah-langkah:
3.7x + 2y = 19 (.4)
4x – 3y = 15 (.7)
28x + 8y = 76
28x – 21y = 105
__________ –
29y = -29
y = -29/29
y = -1
Substitusikan ke salah satu persamaan :
28x + 8y = 76
28x + 8(-1) = 76
28x – 8 = 76
28x = 76 + 8
28x = 84
x = 84/28
x = 3
Nilai dari 4x + 2y
= 4(3) + 2(-1)
= 12 + (-2)
= 12 – 2
= 10
4.Buku tulis = x
Pulpen = y
a.2x + 3y = Rp.10.200,-
3x + 4y = Rp.14.400,-
b.2x + 3y = Rp.10.200,- (.4)
3x + 4y = Rp.14.400,- (.3)
8x + 12y = Rp.40.800,-
9x + 12y = Rp.43.200,-
_________________ –
-1x = – Rp.2.400,-
x = – Rp.2.400,-/-1
x = Rp.2.400,-
Substitusi :
9x + 12y = Rp.43.200,-
9(Rp.2.400,-) + 12y = Rp.43.200,-
Rp.21.600,- + 12y = Rp.43.200,-
12y = Rp.43.200,- – Rp.21.600,-
12y = Rp.21.600,-
y = Rp.21.600,-/12
y = Rp.1.800,-
Harga tiga buku tulis dan empat Pulpen :
3x + 4y
= 3(Rp.2.400,-) + 4(Rp.1.800,-)
= Rp.7.200,- + Rp.7.200,-
= Rp.14.400,-
5.2x + 4y = -9
-4y = 2x + 9
-2y = x + 9
jadi m = 1/-2
maka persamaan garis yang sejajar -2y = x + 9
y – y1 = m(x – x1)
y – 4 = -1/2 (x – (-3))
y – 4 = -1/2 (x + 3)
y – 4 = -1/2 (x + 9/3)
y – 4 = -1/2x – 9/6
y – 4 = -1/2x – 3/2
y = -1/2x – 3/2 + 4
y = -1/2x – 3/2 + 8/2
y = -1/2x + 5/2