Question

Tentukan koordinat potong dua garis 5x+3y-15=0 dan garis 3x+5y+7=0

Answer 1

Verified answer

5x+3y-15=0 => 5x+3y = 15
3x+5y+7=0 => 3x+5y = -7


5x+3y = 15 |×3|
3x+5y = -7 |×5|

15x+9y = 45
15x+25y = -35
___________ _
-16y = 80
y = 80/-16
y = -5

3x+5y = -7
3x+5(-5) = -7
3x-25 = -7
3x = -7+25
3x = 18
x = 6

(x,y) = (6,-5)

semoga membantu yaa:)

Answer 2

Verified answer

Persamaan Garis Lurus.

5x + 3y = 15 | ×3 | 15x + 9y = 45
3x + 5y = -7   | ×5 | 15x + 25y = -35
                             --------------------- -
                             -16y = 80 → y = -5
3x + 5(-5) = -7 → x = 6
Koordinat titik potongnya (6, -5).