Persamaan garis yang melalui titik potong garis 3x-y-2=0 dan 2x-y=-3 dan melalui titik (-3,4)

PGL

cari dulu titik potongnya

3x – y = 2
2x – y = -3
_________ __
x = 5

3x – y = 2
y = 3x – 2 = 3×5 – 2 = 15-2 = 13

titik potongnya (5, 13)

serta melalui titik (-3, 4)

y – 13 = ((4-13)/(-3-5))×(x – 5)
y – 13 = (-9)/(-8)×(x – 5)
y – 13 = 9/8(x – 5)
8y – 104 = 9x – 45
8y – 9x – 104 + 45 = 0
8y – 9x – 59 = 0
atau
9x – 8y + 59 = 0