Tentukan penyelesaian persamaan dan pertidaksamaan berikut !

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a. 4x + 18 = 6 – 2x
b. 4 ( 2y – 3 ) = 4y + 10
c. 4 ( 2y + 3 ) = 3 ( 4y + 3 )
d. 2/3 ( 2y – 3 ) = 1/2 ( 4y + 2 )

Tentukan penyelesaian persamaan dan pertidaksamaan berikut !

Jawaban Terkonfirmasi

A. 4x+18 = 6-2x
4x+2x = 6-18
6x = -12
x = -12:6
x = -2

b. 4(2y-3) = 4y+10
8y-12 = 4y+10
8y-4y = 10+12
4y = 22
y = 22:4
y = 5 2/4 = 5 1/2

c. 4(2y+3) = 3(4y+3)
8y+12 = 12y+9
12-9 = 12y-8y
3 = 4y
y = 3/4

d. 2/3(2y-3) = 1/2(4y+2) (kali 6 kedua ruas)
4(2y-3) = 3(4y+2)
8y-12 = 12y+6
-12-6 = 12y-8y
-18 = 4y
y = -18/4 = -4 2/4 = -4 1/2

A. 4x+18 = 6-2x
6x = -12
x = -2

b. 4(2y-3) =4y+10
8y-12 = 4y+10
4y = 22
y = 22/4
y = 11/2

c. 4(2y+3) = 3(4y+3)
8y+12 = 12y+9
4y = 3
y = 3/4

d. 2/3(2y-3) = 1/2(4y+2)
4/3y – 2 = 2y+1
4/3y – 6y/3y = 1+2
(4-6y)/3y = 3
4-6y = 9y
15y = 4
y = 4/15