1. Sejajar dengan4x+y+20 = 0y = -4x-20m = -4Dan memotong pd(2, 0) x₁ = 2, y₁ = 0Pers. garis =y-y₁ = m(x-x₁)y-0 = -4(x-2)y = -4x+84x + y - 8 = 0 (a.)----------------------------2. Tentukan HP dari3x + y = 7 (·1) 3x + y = 7x + 4y = 6 (·3) 3x+12y = 18Eliminasi12y-y = 18-711y = 11y = 1x + 4y = 6, x + 4(1) = 6x = 6-4,x = 2HP = {x, y}HP = {2, 1} (b)
Jawaban:
1) 4x + y + 20 = 0
y = mx + c
y = -4x - 20
m = -4
garis sejajar m2 = m1
m2 = -4
persamaan garis lurus baru melalui (2,0)
(y - q) = m2(x - p)
(y - 0) = -4 ( x - 2)
y -0 = -4x + 8
-4x + 8 + y + 0 = 0
-4x + y + 8 = 0 (option D)
2) 3x + y = 7 | x 1
x + 4y = 6 | x 3
3x + y = 7
3x + 12y = 18 -
- 11y = -11
y = -11/-11
y = 1
3x + 1 = 7
3x = 7 -1
3x = 6
x = 6/3
x = 2
HP = {2,1} (option B)
3) 2x + 3y = 20 | x 3
3x + 5y = 15. | x 2
6x + 9y = 60
6x + 10y = 30 -
-y = 30
y = -30
2x + 3y = 20
2x + 3(-30) = 20
2x -90 = 20
2x = 20 + 90
2x = 110
x = 110/2
x = 55
x + 2y = 55 + 2(-30)
= 55 - 60
= -5
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1. Sejajar dengan
4x+y+20 = 0
y = -4x-20
m = -4
Dan memotong pd
(2, 0) x₁ = 2, y₁ = 0
Pers. garis =
y-y₁ = m(x-x₁)
y-0 = -4(x-2)
y = -4x+8
4x + y - 8 = 0 (a.)
----------------------------
2. Tentukan HP dari
3x + y = 7 (·1) 3x + y = 7
x + 4y = 6 (·3) 3x+12y = 18
Eliminasi
12y-y = 18-7
11y = 11
y = 1
x + 4y = 6, x + 4(1) = 6
x = 6-4,
x = 2
HP = {x, y}
HP = {2, 1} (b)
Jawaban:
1) 4x + y + 20 = 0
y = mx + c
y = -4x - 20
m = -4
garis sejajar m2 = m1
m2 = -4
persamaan garis lurus baru melalui (2,0)
(y - q) = m2(x - p)
(y - 0) = -4 ( x - 2)
y -0 = -4x + 8
-4x + 8 + y + 0 = 0
-4x + y + 8 = 0 (option D)
2) 3x + y = 7 | x 1
x + 4y = 6 | x 3
3x + y = 7
3x + 12y = 18 -
- 11y = -11
y = -11/-11
y = 1
3x + y = 7
3x + 1 = 7
3x = 7 -1
3x = 6
x = 6/3
x = 2
HP = {2,1} (option B)
3) 2x + 3y = 20 | x 3
3x + 5y = 15. | x 2
6x + 9y = 60
6x + 10y = 30 -
-y = 30
y = -30
2x + 3y = 20
2x + 3(-30) = 20
2x -90 = 20
2x = 20 + 90
2x = 110
x = 110/2
x = 55
x + 2y = 55 + 2(-30)
= 55 - 60
= -5
Semoga membantu dan tidak keliru