Question

Tentukan himpunan penyelesaian dari persamaan berikut

a.3y+15=5y-1 c.1/2 (3x - 6) = 2/3 (2x - 3)

b.3a =18 ÷4=10a-2 ÷4 d.2+11/b = 7 1/2

Answer 1

A.3y+15=5y-1
3y-5y=-1-15
-2y=-16
2y=16
y=16:2
y=8
b.3a=18:4=10a-2:4
3a=18:4-10a=-2:4
3a+10a=4,5=0,5
13a=4,5-0,5
13a=4
a=4/13
c.1/2 (3x-6) = 2/3 (2x-3)
3/2x - 3 = 4/3x -2
3/2x - 4/3x= -2+3
1/6x=1
d.2+11/b = 7 1/2
11/b= 7 1/2 - 2
11/b= 5 1/2
b= 5 1/2 : 11
b= 1/2 attau 0,5

Answer 2

A. 3y+15=5y-1

3y-5y=-1-15
-2y=-16
y=8

b.3a=18/4=10a-2/4
3a=18/4 - 10a=-2/4
3a+10a=4,5=-0,5
13a=4,5+0,5
13a=5
a=5/13

c. 1/2(3x-6)=2/3(2x-3)

3x/2-3=4x/3-2

3x/2-4x/3=-1

9x-8x/6=-1

x/6=-1
x=-6

d. 2+11/b=7 1/2

2 + 11/b=15/2
11/b=15/2 - 2
11/b=11/2
11b=22
b=2