Question

Tentukan himpunan penyelesaian dari sistem persamaan brkt dngan cara subtitusi .
x - 8y + 2 = 0
4x - 6y+2 = 0

Answer 1

X - 8y + 2 = 0 |4|
4x - 6y +2=0 |1|
4x - 32y + 8 = 0
4× - 6y + 2 = 0
________________ -
-26y + 6 = 0
-26y = -6
y = 4,3
lalu substitusi
x - 8y + 2 =0
× - 8(4,3) + 2 =0
x -

Answer 2

X-8y+2=0
~>8y=x+2
~>y=x+1/4

4x-6y+2=0
4x-6(x+1/4)+2=0
4x-6x-3/2+2=0
-2x+1/2=0
-2x=-1/2
x=1/4

~> 4x-6y=2
4(1/4)-6y+2=0
1-6y+2=0
3-6y=0
-6y=-3
y=1/2
himpunan penyelesaian = (1/4,1/2)

Answer 3

X-8y+2=0
~>8y=x+2
~>y=x+1/4

4x-6y+2=0
4x-6(x+1/4)+2=0
4x-6x-3/2+2=0
-2x+1/2=0
-2x=-1/2
x=1/4

~> 4x-6y=2
4(1/4)-6y+2=0
1-6y+2=0
3-6y=0
-6y=-3
y=1/2
himpunan penyelesaian = (1/4,1/2)